Journal Papers

Dennis S. Bernstein/Publications/Journal Papers
  1. D. S. Bernstein, “The Treatment of Inputs in Real-Time Digital Simulation,” Simulation, Vol. 33, No. 2, pp. 65-68, 1979.
  2. D. S. Bernstein and E. G. Gilbert, “Optimal Periodic Control: The pi Test Revisited,” IEEE Trans. Autom. Contr., Vol. AC-25, pp. 673-684, 1980.
  3. E. G. Gilbert and D. S. Bernstein, “Second-Order Necessary Conditions in Optimal Control: Accessory-Problem Results Without Normality Conditions,” J. Optim. Thy. Appl., Vol. 41, pp. 75-106, 1983.
  4. D. S. Bernstein, “A Systematic Approach to Higher-Order Necessary Conditions in Optimization Theory,” SIAM J. Contr. Optim., pp. 211-238, Vol. 22, 1984.
  5. D. C. Hyland and D. S. Bernstein, “The Optimal Projection Equations for Fixed-Order Dynamic Compensation,” IEEE Trans. Autom. Contr., Vol. AC-29, pp. 1034-1037, 1984.
  6. D. S. Bernstein, “Control Constraints, Abnormality, and Improved Performance by Periodic Control,” IEEE Trans. Autom. Contr., Vol. AC-30, pp. 367-376, 1985.
  7. D. S. Bernstein and D. C. Hyland, “The Optimal Projection Equations for Reduced-Order State Estimation,” IEEE Trans. Autom. Contr., Vol. AC-30, pp. 583-585, 1985.
  8. D. C. Hyland and D. S. Bernstein, “The Optimal Projection Equations for Model Reduction and the Relationships Among the Methods of Wilson, Skelton and Moore,” IEEE Trans. Autom. Contr., Vol. AC-30, pp. 1201-1211, 1985.
  9. D. S. Bernstein and D. C. Hyland, “The Optimal Projection Equations for Finite-Dimensional Fixed-Order Dynamic Compensation of Infinite-Dimensional Systems,” SIAM J. Contr. Optim., Vol. 24, pp. 122-151, 1986.
  10. D. S. Bernstein and S. W. Greeley, “Robust Controller Synthesis Using the Maximum Entropy Design Equations,” IEEE Trans. Autom. Contr., Vol. AC-31, pp. 362-364, 1986.
  11. D. S. Bernstein, L. D. Davis, and D. C. Hyland, “The Optimal Projection Equations for Reduced-Order, Discrete-Time Modelling, Estimation and Control,” AIAA J. Guid. Contr. Dyn., Vol. 9, pp. 288-293, 1986.
  12. D. S. Bernstein, L. D. Davis, and S. W. Greeley, “The Optimal Projection Equations for Fixed-Order, Sampled-Data Dynamic Compensation with Computation Delay,” IEEE Trans. Autom. Contr., Vol. AC-31, pp. 859-862, 1986.
  13. W.M. Haddad and D. S. Bernstein, “The Optimal Projection Equations for Discrete-Time Reduced- Order State Estimation for Linear Systems with Multiplicative White Noise,” Sys. Contr. Lett., Vol. 8, pp. 381-388, 1987.
  14. D. S. Bernstein and W. M. Haddad, “Optimal Output Feedback for Nonzero Set Point Regulation,” IEEE Trans. Autom. Contr., Vol. AC-32, pp. 641-645, 1987.
  15. D. S. Bernstein and W. M. Haddad, “Optimal Projection Equations for Discrete-Time Fixed-Order Dynamic Compensation of Linear Systems with Multiplicative White Noise,” Int. J. Contr., Vol. 46, pp. 65-73, 1987.
  16. D. C. Hyland and D. S. Bernstein, “The Majorant Lyapunov Equation: A Nonnegative Matrix Equation for Guaranteed Robust Stability and Performance of Large Scale Systems,” IEEE Trans. Autom. Contr., Vol. AC-32, pp. 1005-1013, 1987.
  17. D. S. Bernstein, “Sequential Design of Decentralized Dynamic Compensators Using the Optimal Projection Equations,” Int. J. Contr., Vol. 46, pp. 1569-1577, 1987.
  18. D. S. Bernstein, “Robust Static and Dynamic Output-Feedback Stabilization: Deterministic and Stochastic Perspectives,” IEEE Trans. Autom. Contr., Vol. AC-32, pp. 1076-1084, 1987.
  19. W. M. Haddad and D. S. Bernstein, “The Optimal Projection Equations for Reduced-Order State Estimation: The Singular Measurement Noise Case,” IEEE Trans. Autom. Contr., Vol. AC-32, pp. 1135-1139, 1987.
  20. D. S. Bernstein, “The Optimal Projection Equations for Static and Dynamic Output Feedback: The Singular Case,” IEEE Trans. Autom. Contr., Vol. AC-32, pp. 1139-1143, 1987.
  21. W. M. Haddad and D. S. Bernstein, “Robust, Reduced-Order, Nonstrictly Proper State Estimation via the Optimal Projection Equations with Petersen-Hollot Bounds,” Sys. Contr. Lett., Vol. 9, pp. 423-431, 1987.
  22. W. M. Haddad and D. S. Bernstein, “Optimal Output Feedback for Nonzero Set Point Regulation: The Discrete-Time Case,” Int. J. Contr., Vol. 47, pp. 529-536, 1988.
  23. W. M. Haddad and D. S. Bernstein, “The Unified Optimal Projection Equations for Simultaneous Reduced-Order, Robust Modeling, Estimation and Control,” Int. J. Contr., Vol. 47, pp. 1117-1132, 1988.
  24. D. S. Bernstein, “Inequalities for the Trace of Matrix Exponentials,” SIAM J. Matrix Anal. Appl., Vol. 9, pp. 156-158, 1988.
  25. D. S. Bernstein and W. M. Haddad, “The Optimal Projection Equations with Petersen-Hollot Bounds: Robust Stability and Performance via Fixed-Order Dynamic Compensation for Systems with Structured Real-Valued Parameter Uncertainty,” IEEE Trans. Autom. Contr., Vol. 33, pp. 578-582, 1988.
  26. W. M. Haddad and D. S. Bernstein, “Robust, Reduced-Order, Nonstrictly Proper State Estimation via the Optimal Projection Equations with Guaranteed Cost Bounds,” IEEE Trans. Autom. Contr., Vol. 33, pp. 591-595, 1988.
  27. W. M. Haddad and D. S. Bernstein, “Robust, Reduced-Order Modeling via the Optimal Projection Equations with Petersen-Hollot Bounds,” IEEE Trans. Autom. Contr., Vol. 33, pp. 692-695, 1988.
  28. W. M. Haddad and D. S. Bernstein, “Optimal Nonzero Set Point Regulation via Fixed-Order Dynamic Compensation,” IEEE Trans. Autom. Contr., Vol. 33, pp. 848-852, 1988.
  29. D. S. Bernstein and D. C. Hyland, “Optimal Projection Equations for Reduced-Order Modelling, Estimation and Control of Linear Systems with Multiplicative White Noise,” J. Optim. Thy. Appl., Vol. 58, pp. 387-409, 1988.
  30. D. S. Bernstein and W. M. Haddad, “Steady-State Kalman Filtering with an H∞ Error Bound,” Sys. Contr. Lett., Vol. 12, pp. 9-16, 1989.
  31. D. S. Bernstein and W. M. Haddad, “LQG Control With an H∞ Performance Bound: A Riccati Equation Approach,” IEEE Trans. Autom. Contr., Vol. 34, pp. 293-305, 1989.
  32. D. S. Bernstein, “Robust Stability and Performance via Fixed-Order Dynamic Compensation,” SIAM J. Contr. Optim., Vol. 27, pp. 389-406, 1989.
  33. W. M. Haddad and D. S. Bernstein, “Combined L2/H∞ Model Reduction,” Int. J. Contr., Vol. 49, pp. 1523-1535, 1989.
  34. D. S. Bernstein and W. M. Haddad, “Robust Stability and Performance Analysis for Linear Dynamic Systems,” IEEE Trans. Autom. Contr., Vol. 34, pp. 751-758, 1989.
  35. D. S. Bernstein and W. M. Haddad, “Robust Decentralized Static Output Feedback,” Sys. Contr. Lett., Vol. 12, pp. 309-318, 1989.
  36. A. N. Madiwale, W. M. Haddad, and D. S. Bernstein, “Robust H∞ Control Design for Systems with Parameter Uncertainty,” Sys. Contr. Lett., Vol. 12, pp. 393-407, 1989.
  37. D. S. Bernstein and C. V. Hollot, “Robust Stability for Sampled-Data Control Systems,” Sys. Contr. Lett., Vol. 13, pp. 217-226, 1989.
  38. D. S. Bernstein and W. M. Haddad, “Optimal Reduced-Order State Estimation for Unstable Plants,” Int. J. Contr., Vol. 50, pp. 1259-1266, 1989.
  39. W. M. Haddad and D. S. Bernstein, “On the Gap Between H2 and Entropy Performance Measures in H∞ Control,” Sys. Contr. Lett., Vol. 14, pp. 113-120, 1990.
  40. D. S. Bernstein and I. G. Rosen, “Finite-Dimensional Approximation for Optimal Fixed-Order Compensation of Distributed Parameter Systems,” Opt. Contr. Appl. Meth., Vol. 11, pp. 1-20, 1990.
  41. D. S. Bernstein and W. M. Haddad, “Robust Stability and Performance via Fixed-Order Dynamic Compensation with Guaranteed Cost Bounds,” Math. Contr. Sig. Sys., Vol. 3, pp. 139-163, 1990.
  42. D. S. Bernstein and W. M. Haddad, “Robust Stability and Performance Analysis for State Space Systems via Quadratic Lyapunov Bounds,” SIAM J. Matrix Anal. Appl., Vol. 11, pp. 239-271, 1990.
  43. W.M. Haddad and D. S. Bernstein, “Generalized Riccati Equations for the Full- and Reduced-Order Mixed-Norm H2/H∞ Standard Problem,” Sys. Contr. Lett., Vol. 14, pp. 185-197, 1990.
  44. W. M. Haddad and D. S. Bernstein, “Optimal Reduced-Order Observer-Estimators,” AIAA J. Guid. Contr. Dyn., Vol. 13, pp. 1126-1135, 1990.
  45. W. M. Haddad, D. S. Bernstein, and D. Mustafa, “Mixed-Norm H2/H∞ Regulation and Estimation: The Discrete-Time Case,” Sys. Contr. Lett., Vol. 16, pp. 235-248, 1991.
  46. W. M. Haddad and D. S. Bernstein, “Robust Stabilization with Positive Real Uncertainty: Beyond the Small Gain Theorem,” Sys. Contr. Lett., Vol. 17, pp. 191-208, 1991.
  47. D. Mustafa and D. S. Bernstein, “LQG Bounds in Discrete-Time H2/H_inf Control,” Trans. Inst. Meas. Contr., Vol. 13, pp. 269-275, 1991.
  48. Y. Halevi, D. S. Bernstein, and W. M. Haddad, “On Stable Full-Order and Reduced-Order LQG Controllers,” Optimal Contr. Appl. Meth., Vol. 12, pp. 163-172, 1991.
  49. W. M. Haddad and D. S. Bernstein, “Controller Design with Regional Pole Constraints,” IEEE Trans. Autom. Contr., Vol. 37, pp. 54-69, 1992.
  50. D. S. Bernstein and W. M. Haddad, “Robust Controller Synthesis Using Kharitonov’s Theorem,” IEEE Trans. Autom. Contr., Vol. 37, pp. 129-132, 1992.
  51. W. M. Haddad, D. S. Bernstein, H.-H. Huang, and Y. Halevi, “Fixed-Order Sampled-Data Estimation,” Int. J. Contr., Vol. 55, pp. 129-139, 1992.
  52. D. S. Bernstein, W. M. Haddad, and D. C. Hyland, “Small Gain Versus Positive Real Modeling of Real Parameter Uncertainty,” AIAA J. Guid. Contr. Dyn., Vol. 15, pp. 538-540, 1992.
  53. E. G. Collins, Jr., J. A. King, and D. S. Bernstein, “Application of Maximum Entropy/Optimal Projection Design Synthesis to the Benchmark Problem,” AIAA J. Guid. Contr. Dyn., Vol. 15, pp. 1094-1102, 1992.
  54. D. Zigic, L. T. Watson, E. G. Collins, Jr., and D. S. Bernstein, “Homotopy Methods for Solving the Optimal Projection Equations for the H2 Reduced Order Model Problem,” Int. J. Contr., Vol. 56, pp. 173-191, 1992.
  55. D. S. Bernstein, “Some Open Problems in Matrix Theory Arising in Linear Systems and Control,” Lin. Alg. Appl., Vols. 162-164, pp. 409-432, 1992.
  56. D. Zigic, L. T. Watson, E. G. Collins, Jr., and D. S. Bernstein, “Homotopy Approaches to the H2 Reduced Order Model Problem,” J. Math. Sys. Est. Contr., Vol. 3, pp. 173-205, 1993.
  57. W. M. Haddad, H.-H. Huang, and D. S. Bernstein, “Robust Stability and Performance via Fixed-Order Dynamic Compensation: The Discrete-Time Case,” IEEE Trans. Autom. Contr., Vol. 38, pp. 776-782, 1993.
  58. Y. Halevi, W. M. Haddad, and D. S. Bernstein, “A Riccati Equation Approach to the Singular LQG Problem,” Automatica, Vol. 29, pp. 773-778, 1993.
  59. Y. W. Wang and D. S. Bernstein, “Controller Design With Regional Pole Constraints: Hyperbolic and Horizontal Strip Regions,” AIAA J. Guid. Contr. Dyn., Vol. 16, pp. 784-787, 1993.
  60. D. S. Bernstein and D. C. Hyland, “Compartmental Modeling and Second-Moment Analysis of State Space Systems,” SIAM J. Matrix Anal. Appl., Vol. 14, pp. 880-901, 1993.
  61. D. S. Bernstein, W. M. Haddad, D. C. Hyland, and F. Tyan, “Maximum Entropy-Type Lyapunov Functions for Robust Stability and Performance Analysis,” Sys. Contr. Lett., Vol. 21, pp. 73-87, 1993.
  62. D. S. Bernstein and W. So, “Some Explicit Formulas for the Matrix Exponential,” IEEE Trans. Autom. Contr., Vol. 38, pp. 1228-1232, 1993.
  63. D. S. Bernstein, “Nonquadratic Cost and Nonlinear Feedback Control,” Int. J. Robust Nonlinear Contr., Vol. 3, pp. 211-229, 1993; Erratum, Int. J. Robust Nonlinear Contr., Vol. 5, p. 539, 1995.
  64. Y. W. Wang and D. S. Bernstein, “H2 Optimal Control With an a-Shifted Pole Constraint,” Int. J. Contr., Vol. 58, pp. 1201-1214, 1993.
  65. W. M. Haddad and D. S. Bernstein, “Explicit Construction of Quadratic Lyapunov Functions for the Small Gain, Positivity, Circle, and Popov Theorems and Their Application to Robust Stability, Part I: Continuous-Time Theory,” Int. J. Robust Nonlinear Contr., Vol. 3, pp. 313-339, 1993.
  66. W. M. Haddad and D. S. Bernstein, “Explicit Construction of Quadratic Lyapunov Functions for the Small Gain, Positivity, Circle, and Popov Theorems and Their Application to Robust Stability, Part II: Discrete-Time Theory,” Int. J. Robust Nonlinear Contr., Vol. 4, pp. 249-265, 1994.
  67. S. R. Hall, D. G. MacMartin, and D. S. Bernstein, “Covariance Averaging in the Analysis of Uncertain Systems,” IEEE Trans. Autom. Contr., Vol. 38, pp. 1858-1862, 1993.
  68. W. M. Haddad, E. G. Collins, Jr., and D. S. Bernstein, “Robust Stability Analysis Using the Small Gain, Circle, Positivity, and Popov Theorems: A Comparative Study,” IEEE Trans. Contr. Sys. Tech., Vol. 1, pp. 290-293, 1993.
  69. S. Rern, P. T. Kabamba, and D. S. Bernstein, “A Guardian Map Approach to Robust Stability of Linear Systems with Constant Real Parameter Uncertainty,” IEEE Trans. Autom. Contr., Vol. 39, pp. 162-164, 1994.
  70. W. M. Haddad, H.-H. Huang, and D. S. Bernstein, “Sampled-Data Observers With Generalized Holds for Unstable Plants,” IEEE Trans. Autom. Contr., Vol. 39, pp. 229-234, 1994.
  71. W. M. Haddad, D. S. Bernstein, and Y. W. Wang, “Dissipative H_2/H∞ Controller Synthesis,” IEEE Trans. Autom. Contr., Vol. 39, pp. 827-831, 1994.
  72. W. M. Haddad and D. S. Bernstein, “Parameter-Dependent Lyapunov Functions and the Discrete-Time Popov Criterion for Robust Analysis,” Automatica, Vol. 30, pp. 1015-1021, 1994.
  73. D. S. Bernstein and W. M. Haddad, “Nonlinear Controllers for Positive Real Systems with Arbitrary Input Nonlinearities,” IEEE Trans. Autom. Contr., Vol. 39, pp. 1513-1517, 1994.
  74. J. H. Friedman and D. S. Bernstein, “Maximum Entropy Controller Synthesis for Colocated and Noncolocated Systems,” AIAA J. Guid. Contr. Dyn., Vol. 17, pp. 859-862, 1994.
  75. W. M. Haddad, D. S. Bernstein, and V. Kapila, “Reduced-Order Multirate Estimation,” AIAA J. Guid. Contr. Dyn., Vol. 17, pp. 712-721, 1994.
  76. W. M. Haddad, J. P. How, S. R. Hall, and D. S. Bernstein, “Extensions of Mixed-μ Bounds to Monotonic and Odd Monotonic Nonlinearities Using Absolute Stability Theory,” Int. J. Contr., Vol. 60, pp. 905-951, 1994.
  77. Y.W. Wang, W. M. Haddad, and D. S. Bernstein, “Robust Strong Stabilization via Modified Popov Controller Synthesis,” IEEE Trans. Autom. Contr., Vol. 39, pp. 2284-2287, 1994.
  78. Y. W. Wang and D. S. Bernstein, “H2-Suboptimal Stable Stabilization,” Automatica, Vol. 30, pp. 1797-1800, 1994.
  79. Y. W. Wang and D. S. Bernstein, “L2 Controller Synthesis with L_inf-Bounded Closed-Loop Impulse Response,” Int. J. Contr., Vol. 60, pp. 1295-1306, 1994.
  80. W. M. Haddad and D. S. Bernstein, “Parameter-Dependent Lyapunov Functions and the Popov Criterion in Robust Analysis and Synthesis,” IEEE Trans. Autom. Contr., Vol. 40, pp. 536-543, 1995.
  81. Y. Kishimoto and D. S. Bernstein, “Thermodynamic Modeling of Interconnected Systems I: Conservative Coupling,” J. Sound Vibr., Vol. 182, pp. 23-58, 1995.
  82. Y. Kishimoto and D. S. Bernstein, “Thermodynamic Modeling of Interconnected Systems II: Dissipative Coupling,” J. Sound Vibr., Vol. 182, pp. 59-76, 1995.
  83. F. Tyan, S. R. Hall, and D. S. Bernstein, “A Double-Commutator Guaranteed Cost Bound for Robust Stability and Performance,” Sys. Contr. Lett., Vol. 25, pp. 125-129, 1995.
  84. S. L. Osburn and D. S. Bernstein, “An Exact Treatment of the Achievable Closed-Loop H2 Performance of Sampled-Data Controllers: From Continuous-Time to Open-Loop,” Automatica, Vol. 31, pp. 617-620, 1995.
  85. W. M. Haddad and D. S. Bernstein, “The Octomorphic Criterion for Multiple-Block-Structured Real Parameter Uncertainty: Real-μ Bounds Without Circles and D,N-Scales,” Sys. Contr. Lett., Vol. 25, pp. 175-183, 1995.
  86. D. S. Bernstein, W. M. Haddad, and A. G. Sparks, “A Popov Criterion for Uncertain Linear Multivariable Systems,” Automatica, Vol. 31, pp. 1061-1064, 1995.
  87. D. S. Bernstein and S. P. Bhat, “Lyapunov Stability, Semistability, and Asymptotic Stability of Matrix Second-Order Systems,” ASME Trans. J. Vibr. Acoustics, Vol. 117, pp. 145-153, 1995.
  88. C.-J. Wan and D. S. Bernstein, “Nonlinear Feedback Control with Global Stabilization,” Dynamics and Control, Vol. 5, pp. 321-346, 1995.
  89. C.-J. Wan, V. T. Coppola, and D. S. Bernstein, “Global Asymptotic Stabilization of the Spinning Top,” Optimal Contr. Appl. Meth., Vol. 16, pp. 189-215, 1995.
  90. F. Tyan and D. S. Bernstein, “Anti-windup Compensator Synthesis for Systems with Saturating Actuators,” Int. J. Robust Nonlinear Contr., Vol. 5, pp. 521-537, 1995.
  91. D. S. Bernstein, “Optimal Nonlinear, But Continuous, Feedback Control of Systems with Saturating Actuators,” Int. J. Contr., Vol. 62, pp. 1209-1216, 1995.
  92. Y. Kishimoto, D. S. Bernstein, and S. R. Hall, “Energy Flow Modeling of Interconnected Structures: A Deterministic Foundation for Statistical Energy Analysis,” J. Sound Vibr., Vol. 186, pp. 407-445, 1995.
  93. Y. Kishimoto, D. S. Bernstein, and S. R. Hall, “Energy Flow Control of Interconnected Structures, I. Modal Subsystems,” Contr. Theory Adv. Tech., Vol. 10, pp. 1563-1590, 1995.
  94. Y. Kishimoto, D. S. Bernstein, and S. R. Hall, “Energy Flow Control of Interconnected Structures, II. Structural Subsystems,” Contr. Theory Adv. Tech., Vol. 10, pp. 1591-1618, 1995.
  95. A. G. Sparks and D. S. Bernstein, “Optimal Tradeoff Between H_2 Performance and Tracking Accuracy in Servocompensator Synthesis,” AIAA J. Guid. Contr. Dyn., Vol. 18, pp. 1239-1243, 1995.
  96. A. G. Sparks and D. S. Bernstein, “Real Structured Singular Value Synthesis Using the Scaled Popov Criterion,” AIAA J. Guid. Contr. Dyn., Vol. 18, pp. 1244-1252, 1995.
  97. K.-Y. Lum, D. S. Bernstein, and V. T. Coppola “Global Stabilization of the Spinning Top with Mass Imbalance,” Dynamics and Stability of Systems, Vol. 10, pp. 339-365, 1995.
  98. D. S. Bernstein and A. N. Michel, “A Chronological Bibliography on Saturating Actuators,” Int. J. Robust Nonlinear Contr., Vol. 5, pp. 375-380, 1995
  99. W. M. Haddad and D. S. Bernstein, “The Multivariable Parabola Criterion for Robust Controller Synthesis: A Riccati Equation Approach,” J. Math. Sys. Est. Contr., Vol. 6, pp. 79-103, 1996.
  100. W. M. Haddad, V.-S. Chellaboina, and D. S. Bernstein, “Real-μ Bounds Based on Fixed Shapes in the Nyquist Plane: Parabolas, Hyperbolas, Cissoids, Nephroids, and Octomorphs,” Sys. Contr. Lett., Vol. 27, pp. 55-66, 1996.
  101. Y. W. Wang, W. M. Haddad, and D. S. Bernstein, “Stable Stabilization With H2 and H∞ Performance Constraints,” J. Math. Sys. Est. Contr., Vol. 6, pp. 181-194, 1996.
  102. J. Hong, J. C. Akers, R. Venugopal, M.-N. Lee, A. G. Sparks, P. D. Washabaugh, and D. S. Bernstein, “Modeling, Identification, and Feedback Control of Noise in an Acoustic Duct,” IEEE Trans. Contr. Sys. Tech., Vol. 4, pp. 283-291, 1996.
  103. C.-J. Wan, D. S. Bernstein, and V. T. Coppola, “Global Stabilization of the Oscillating Eccentric Rotor,” Nonlinear Dynamics, Vol. 10, pp. 49-62, 1996.
  104. S. P. Bhat and D. S. Bernstein, “Second-Order Systems with Singular Mass Matrix and an Extension of Guyan Reduction,” SIAM J. Matrix Anal. Appl., Vol. 17, pp. 649-657, 1996.
  105. K.-Y. Lum, V. T. Coppola, and D. S. Bernstein, “Adaptive Autocentering Control for an Active Magnetic Bearing Supporting a Rotor with Unknown Mass Imbalance,” IEEE Trans. Contr. Sys. Tech., Vol. 4, pp. 587-597, 1996.
  106. Y. Ge, L. T. Watson, E. G. Collins, Jr., and D. S. Bernstein, “Probability-One Homotopy Algorithms for Full and Reduced Order H2/H_inf Controller Synthesis,” Optimal Contr. Appl. Meth., Vol. 17, pp. 187-208, 1996.
  107. W. M. Haddad, D. S. Bernstein, and V.-S. Chellaboina, “Generalized Mixed-μ Bounds for Real and Complex Multiple-Block Uncertainty with Internal Matrix Structure,” Int. J. Contr., Vol. 64, pp. 789-806, 1996.
  108. S. P. Bhat and D. S. Bernstein, “Example of Indeterminacy in Classical Dynamics,” Int. J. Theo- retical Physics, Vol. 36, pp. 545-550, 1997.
  109. W. M. Haddad, V.-S. Chellaboina, and D. S. Bernstein, “An Implicit Small Gain Condition and an Upper Bound for the Real Structured Singular Value,” Sys. Contr. Lett., Vol. 29, pp. 197-205, 1997.
  110. W. M. Haddad, V. Kapila, and D. S. Bernstein, “Robust H∞ Stabilization via Parameterized Lyapunov Bounds,” IEEE Trans. Autom. Contr., Vol. 42, pp. 243-248, 1997.
  111. A. G. Sparks and D. S. Bernstein, “Optimal Rejection of Stochastic and Deterministic Disturbances,” ASME J. Dyn. Sys. Meas. Contr., Vol. 119, pp. 140-143, 1997.
  112. Y. Ge, L. T. Watson, E. G. Collins, Jr., and D. S. Bernstein, “Globally Convergent Homotopy Algorithms for the Combined H2/H∞ Model Reduction Problem,” Math. Sys. Est. Contr., Vol. 7, pp. 129-155, 1997.
  113. F. Tyan and D. S. Bernstein, “Dynamic Output Feedback Compensation for Systems with Independent Amplitude and Rate Saturations,” Int. J. Contr., Vol. 67, pp. 89-116, 1997.
  114. C.-J. Wan, P. Tsiotras, V. T. Coppola, and D. S. Bernstein, “Global Stabilization of the Spinning Top Using Stereographic Projection,” Dynamics and Control, Vol. 7, pp. 215-233, 1997.
  115. F. Ben-Amara, R. Venugopal, P. T. Kabamba, A. G. Ulsoy, and D. S. Bernstein, “A Comparison of Two Adaptive Algorithms for Disturbance Cancellation,” Annual Reviews in Control, Vol. 21, pp. 67-78, 1997.
  116. J. Hong and D. S. Bernstein, “Bode Integral Constraints, Colocation, and Spillover in Active Noise and Vibration Control,” IEEE Trans. Contr. Sys. Tech., Vol. 6, pp. 111-120, 1998.
  117. R. T. Bupp and D. S. Bernstein, “Experimental Implementation of Integrator Backstepping and Passive Nonlinear Controllers on the RTAC Testbed,” Int. J. Robust Nonlinear Contr., Vol. 8, pp. 435-457, 1998.
  118. K.-Y. Lum, V. T. Coppola, and D. S. Bernstein, “Adaptive Virtual Autobalancing for a Rigid Rotor With Unknown Mass Imbalance Supported by Magnetic Bearings,” ASME Trans. J. Vibr. Acoustics, Vol. 120, pp. 557-570, 1998.
  119. S. P. Bhat and D. S. Bernstein, “Continuous Finite-Time Stabilization of the Translational and Rotational Double Integrators,” IEEE Trans. Autom. Contr., Vol. 43, pp. 678-682, 1998.
  120. R. S. Erwin, A. G. Sparks, and D. S. Bernstein, “Fixed-Structure Robust Controller Synthesis via Decentralized Static Output Feedback,” Int. J. Robust Nonlinear Contr., Vol. 8, pp. 499-522, 1998.
  121. A. G. Sparks and D. S. Bernstein, “Reliable State Space Upper Bounds for the Peak Structured Singular Value,” Int. J. Robust Nonlinear Contr., Vol. 8, pp. 611-630, 1998.
  122. R. Venugopal and D. S. Bernstein, “State Space Modeling of an Acoustic Duct with an End-Mounted Speaker,” ASME Trans. J. Vibr. Acoustics, Vol. 120, pp. 770-775, 1998.
  123. A. G. Sparks and D. S. Bernstein, “Real Robustness Bounds Using Generalized Stability Multipliers,” Int. J. Contr., Vol. 70, pp. 651-664, 1998.
  124. V. Kapila, W. M. Haddad, R. S. Erwin, and D. S. Bernstein, “Robust Controller Synthesis via Shifted Parameter-Dependent Quadratic Cost Bounds,” IEEE Trans. Autom. Contr., Vol. 43, pp. 1003-1007, 1998.
  125. R. L. Clark and D. S. Bernstein, “Hybrid Control: Separation in Design,” J. Sound Vibr., Vol. 214, pp. 784-791, 1998.
  126. J. Ahmed, V. T. Coppola, and D. S. Bernstein, “Asymptotic Tracking of Spacecraft Attitude Motion with Inertia Matrix Identification,” AIAA J. Guid. Contr. Dyn., Vol. 21, pp. 684-691, 1998.
  127. V.-S. Chellaboina, W. M. Haddad, and D. S. Bernstein, “Structured Matrix Norms for Robust Stability and Performance with Block-Structured Uncertainty,” Int. J. Contr., Vol. 71, pp. 535- 557, 1998.
  128. R. T. Bupp, D. S. Bernstein, and V. T. Coppola, “A Benchmark Problem for Nonlinear Control Design,” Int. J. Robust Nonlinear Contr., Vol. 8, pp. 307-310, 1998.
  129. J. R. Corrado, W. M. Haddad, and D. S. Bernstein, “Optimal H2 Synthesis of Controllers with Relative Degree Two,” Automatica, Vol. 35, pp. 1169-1173, 1999.
  130. F. Tyan and D. S. Bernstein, “Global Stabilization of Systems Containing a Double Integrator Using a Saturated Linear Controller,” Int. J. Robust Nonlinear Contr., Vol. 9, pp. 1143-1156, 1999.
  131. R. T. Bupp, D. S. Bernstein, V.-S. Chellaboina, and W. M. Haddad, “Resetting Virtual Absorbers for Vibration Control,” J. Vibration and Control, Vol. 6, pp. 61-83, 2000.
  132. R. Venugopal and D. S. Bernstein, “Adaptive Disturbance Rejection Using ARMARKOV System Representations,” IEEE Trans. Contr. Sys. Tech., Vol. 8, pp. 257-269, 2000.
  133. S. P. Bhat and D. S. Bernstein, “A Topological Obstruction to Continuous Global Stabilization of Rotational Motion and the Unwinding Phenomenon,” Sys. Contr. Lett., Vol. 39, pp. 63-70, 2000.
  134. J. R. Corrado, V.-S. Chellaboina,W. M. Haddad, and D. S. Bernstein, “Robust Controller Synthesis Using the Implicit Small Gain Bound,” J. Franklin Inst., Vol. 337, pp. 85-96, 2000.
  135. S. P. Bhat and D. S. Bernstein, “Finite-Time Stability of Continuous Autonomous Systems,” SIAM J. Contr. Optim., Vol. 38, pp. 751-766, 2000.
  136. R. T. Bupp, D. S. Bernstein, V.-S. Chellaboina, and W. M. Haddad, “Finite Settling Time Control of the Double Integrator Using a Virtual Trap-Door Absorber,” IEEE Trans. Autom. Contr., Vol. 45, pp. 776-780, 2000.
  137. V.-S. Chellaboina, W. M. Haddad, D. S. Bernstein, and D. A. Wilson, “Induced Convolution Norms of Linear Dynamical Systems,” Math. Contr. Sig. Sys., Vol. 13, pp. 216-239, 2000.
  138. R. S. Erwin, D. S. Bernstein, and D. A. Wilson, “Fixed-Structure Synthesis of Induced-Norm Controllers,” Int. J. Contr., Vol. 73, pp. 1437-1448, 2000.
  139. J. R. Corrado, R. S. Erwin, D. S. Bernstein and W. M. Haddad, “Stable H2-Optimal Controller Synthesis,” Optimal Contr. Appl. Meth., Vol. 21, pp. 107-124, 2000.
  140. H. Sane, R. Venugopal, and D. S. Bernstein, “Disturbance Rejection Using Self-Tuning ARMARKOV Adaptive Control with Simultaneous Identification,” IEEE Trans. Contr. Sys. Tech., Vol. 9, pp. 101-106, 2001.
  141. J. Hong and D. S. Bernstein, “Adaptive Stabilization of Nonlinear Oscillators Using Direct Adaptive Control,” Int. J. Contr., Vol. 74, pp. 432-444, 2001.
  142. Y. Wang, D. S. Bernstein, and L. T. Watson, “Probability-one Homotopy Algorithms for Solving the Coupled Lyapunov Equations Arising in Reduced-Order H2/H_inf Modeling, Estimation, and Control,” Appl. Math. Comput., Vol. 123, pp. 155-185, 2001.
  143. A. V. Roup and D. S. Bernstein, “Adaptive Stabilization of a Class of Nonlinear Systems with Nonparametric Uncertainty,” IEEE Trans. Autom. Contr., Vol. 46, pp. 1821-1825, 2001.
  144. S. L. Lacy, R. S. Erwin, and D. S. Bernstein, “Identification of Wiener Systems with Known, Noninvertible Nonlinearities,” ASME J. Dyn. Sys. Meas. Contr., Vol. 123, pp. 566-571, 2001.
  145. T. H. Van Pelt and D. S. Bernstein, “Nonlinear System Identification Using Hammerstein and Nonlinear Feedback Models with Piecewise Linear Static Maps,” Int. J. Contr., Vol. 74, pp. 1807-1823, 2001.
  146. J. Ahmed and D. S. Bernstein, “Adaptive Control of a Double-Gimbal Control-Moment Gyro with Unbalanced Rotor,” AIAA J. Guid. Contr. Dyn., Vol. 25, pp. 105-115, 2002.
  147. R. S. Erwin and D. S. Bernstein, “Fixed-Structure Discrete-Time Mixed H2/H_inf Controller Synthesis Using the Delta-Operator,” Int. J. Contr., Vol. 75, pp. 559-571, 2002.
  148. D. S. Bernstein and S. L. Osburn, “Guaranteed Cost Inequalities for Robust Stability and Performance Analysis,” Int. J. Robust Nonlinear Contr., Vol. 12, pp. 1275-1297, 2002.
  149. R. Venugopal, V. G. Rao, and D. S. Bernstein, “Lyapunov-Based Backward-Horizon Discrete-Time Adaptive Control,” Adaptive Contr. Sig. Proc., Vol. 17, pp. 67-84, 2003.
  150. H. Sane and D. S. Bernstein, “Asymptotic Disturbance Rejection for Hammerstein Positive Real Systems,” IEEE Trans. Contr. Sys. Tech., Vol. 11, pp. 364-374, 2003.
  151. S. L. Lacy and D. S. Bernstein, “Subspace Identification with Guaranteed Stability Using Constrained Optimization,” IEEE Trans. Autom. Contr., Vol. 48, pp. 1259-1263, 2003.
  152. D. S. Bernstein, N. H. McClamroch, and J. Shen, “An Air Spindle Testbed for Experimental Investigation of Shape Change Actuation for Precision Attitude Control,” IEEE Contr. Sys. Mag., Vol. 23, pp. 44-56, October 2003.
  153. S. L. Lacy and D. S. Bernstein, “Identification of FIRWiener Systems with Unknown, Noninvertible, Polynomial Nonlinearities,” Int. J. Contr., Vol. 76, pp. 1500-1507, 2003.
  154. S. P. Bhat and D. S. Bernstein, “Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria,” SIAM J. Contr. Optim., Vol. 42, pp. 1745-1775, 2003.
  155. A. V. Roup, D. S. Bernstein, S. G. Nersesov, W. M. Haddad, and V. Chellaboina, “Limit Cycle Analysis of the Verge and Foliot Clock Escapement Using Impulsive Differential Equations and Poincare Maps,” Int. J. Contr., pp. 1685-1698, 2003.
  156. S. Akhtar, R. Venugopal, and D. S. Bernstein, “Logarithmic Lyapunov Functions for Direct Adaptive Stabilization with Normalized Adaptive Laws,” Int. J. Contr., Vol. 77, pp. 630-638, 2004.
  157. A. Roup and D. S. Bernstein, “Adaptive Stabilization of Second-Order Systems with Bounded Time-Varying Coefficients,” J. Vibr. Contr., Vol. 10, pp. 963-994, 2004.
  158. J. Oh and D. S. Bernstein, “A Semilinear Duhem Model for Rate-Independent and Rate-Dependent Hysteresis,” IEEE Trans. Autom. Contr., Vol. 50, pp. 631-645, 2005.
  159. S. P. Bhat and D. S. Bernstein, “Geometric Homogeneity with Applications to Finite-time Stability,” Math. Contr. Sig. Sys., Vol. 17, pp. 101-127, 2005.
  160. D. Patt, L. Liu, J. Chandrasekar, D. S. Bernstein, and P. P. Friedmann, “The Higher-Harmonic-Control Algorithm for Helicopter Vibration Reduction Revisited,” AIAA J. Guid. Contr. Dyn., Vol. 28, pp. 918-930, 2005.
  161. S. L. Lacy and D. S. Bernstein, “Subspace Identification for Nonlinear Systems with Measured-Input Nonlinearities,” Int. J. Contr., Vol. 78, pp. 906-926, 2005.
  162. S. Akhtar and D. S. Bernstein, “Lyapunov-Stable Discrete-Time Model Reference Adaptive Control,” Adaptive Contr. Signal Proc., Vol. 19, pp. 745-767, 2005.
  163. E. L. Renk, W. J. Collins, M. A. Rizzo, F. J. Lee, and D. S. Bernstein, “Calibrating a Triaxial Accelerometer-Magnetometer,” IEEE Contr. Sys. Mag., Vol. 25, pp. 86-95, December 2005.
  164. N. A. Chaturvedi, A. K. Sanyal, M. Chellappa, J. L. Valk, N. H. McClamroch, and D. S. Bernstein, “Adaptive Tracking of Angular Velocity for a Planar Rigid Body with Unknown Models for Inertia and Input Nonlinearity,” IEEE Trans. Contr. Sys. Tech., Vol. 14, pp. 613-627, 2006.
  165. B.-E. Jun and D. S. Bernstein, “Least-correlations Estimates for Errors-in-Variables Models,” Int. J. Adaptive Contr. Sig. Proc., Vol. 20, pp. 337-351, 2006.
  166. N. A. Chaturvedi, D. S. Bernstein, J. Ahmed, F. Bacconi, and N. H. McClamroch, “Globally Convergent Adaptive Tracking of Angular Velocity and Inertia Identification of a 3-DOF Rigid Body,” IEEE Trans. Contr. Sys. Tech., Vol. 14, pp. 841-853, 2006.
  167. J. Chandrasekar, L. Liu, D. Patt, P. P. Friedmann, and D. S. Bernstein, “Adaptive Harmonic Steady State Control for Disturbance Rejection,” IEEE Trans. Contr. Sys. Tech., Vol. 14, pp. 993-1007, 2006.
  168. O. Barrero Mendoza, B. De Moor, and D. S. Bernstein, “Data Assimilation for Magnetohydrodynamics Systems,” J. Comp. Appl. Math., Vol. 189, pp. 242-259, 2006.
  169. J. Chandrasekar and D. S. Bernstein, “Correlation Bounds for Discrete-Time Systems with Banded Dynamics,” Sys. Contr. Lett., Vol. 56, pp. 83-86, 2007.
  170. B.-E. Jun and D. S. Bernstein, “Extended Least-correlation Estimates for Errors-in-Variables Non- linear Models,” Int. J. Contr., Vol. 80, pp. 256-267, 2007.
  171. J. B. Hoagg and D. S. Bernstein, “Direct Adaptive Command Following and Disturbance Rejection for Minimum Phase Systems with Unknown Relative Degree,” Int. J. Adaptive Contr. Sig. Proc., Vol. 21, pp. 49-75, 2007.
  172. J. Chandrasekar and D. S. Bernstein, “Setpoint Tracking with Actuator Offset and Sensor Bias: Probing the Limits of Integral Control,” IEEE Contr. Sys. Mag., Vol. 27, pp. 61-68, February 2007.
  173. J. Oh and D. S. Bernstein, “Piecewise Linear Identification for the Rate-Independent and Rate-Dependent Duhem Hysteresis Models,” IEEE Trans. Autom. Contr., Vol. 52, pp. 576-582, 2007.
  174. J. B. Hoagg and D. S. Bernstein, “Direct Adaptive Dynamic Compensation for Minimum-Phase Systems with Unknown Relative Degree,” IEEE Trans. Autom. Contr., Vol. 52, pp. 610-621, 2007.
  175. J. B. Hoagg and D. S. Bernstein, “Nonminimum-Phase Zeros: Much to Do about Nothing,” IEEE Contr. Sys. Mag., Vol. 27, pp. 45-57, June 2007.
  176. J. B. Hoagg and D. S. Bernstein, “Lyapunov-Stable Adaptive Stabilization of Nonlinear Time-Varying Systems with Matched Uncertainty,” Int. J. Contr., Vol. 80, pp. 872-884, 2007.
  177. J. B. Hoagg, J. Chandrasekar, and D. S. Bernstein, “On the Zeros, Initial Undershoot, and Relative Degree of Lumped-Parameter Structures,” ASME J. Dyn. Sys. Meas. Contr., Vol. 129, pp. 493-502, 2007.
  178. H. Palanthandalam-Madapusi, D. S. Bernstein, and A. J. Ridley, “Space Weather Forecasting: Identifying Periodically Switching Block-structured Models to Predict Magnetic-field Fluctuations,” IEEE Contr. Sys. Mag., Vol. 27, pp. 109-123, October 2007.
  179. J. Chandrasekar, D. S. Bernstein, O. Barrero, and B. De Moor, “Kalman Filtering with Constrained Output Injection,” Int. J. Contr., Vol. 80, pp. 1863-1879, 2007.
  180. H. Palanthandalam-Madapusi, D. S. Bernstein, and R. Venugopal, “Dimensional Analysis of Matrices: State-Space Models and Dimensionless Units,” IEEE Contr. Sys. Mag., Vol. 27, pp. 100-109, December 2007; addendum, IEEE Contr. Sys. Mag., Vol. 28, pp. 16-17, December 2008.
  181. J. Chandrasekar and D. S. Bernstein, “Position Control Using Acceleration-Based Identification and Feedback with Unknown Measurement Bias,” ASME Trans. Dyn. Sys. Meas. Contr., Vol. 130, pp. 014501-1-014501-9, 2008.
  182. D. J. Pawlowski, A. J. Ridley, and I. S. Kim, and D. S. Bernstein, “Global Model Comparison with Millstone Hill During September 2005,” J. Geophysical Res., Vol. 113, 2008.
  183. A. K. Padthe, N. A. Chaturvedi, D. S. Bernstein, S. P. Bhat, and A. M. Waas, “Feedback Stabilization of Snap-through Buckling in a Preloaded Two-Bar Linkage with Hysteresis,” Int. J. Non-Linear Mech., Vol. 43, pp. 277-291, 2008.
  184. J. B. Hoagg, M. A. Santillo, and D. S. Bernstein, “Discrete-Time Adaptive Command Following and Disturbance Rejection for Minimum Phase Systems with Unknown Exogenous Dynamics,” IEEE Trans. Autom. Contr., Vol. 53, pp. 912-928, 2008.
  185. J. B. Hoagg, M. A. Santillo, and D. S. Bernstein, “Internal Model Control in the Shift and Delta Domains,” IEEE Trans. Autom. Contr., Vol. 53, pp. 1066-1072, 2008.
  186. B.O.S. Teixeira, M. A. Santillo, R.S. Erwin, and D.S. Bernstein, “Spacecraft Tracking Using Sampled-Data Kalman Filters: An Illustrative Application of Extended and Unscented Estimators,” IEEE Contr. Sys. Mag., Vol. 28, pp. 78-94, August 2008.
  187. B. O. S. Teixeira, J. Chandrasekhar, H. Palanthandalam-Madapusi, L. A. B. Torres, L. A. Aguirre, and D. S. Bernstein, “Gain-Constrained Kalman Filtering for Linear and Nonlinear Systems,” IEEE Trans. Sig. Proc., Vol. 56, pp. 4113-4123, 2008.
  188. A. K. Padthe, B. Drincic, J. Oh, D. D. Rizos, S. D. Fassois, and D. S. Bernstein, “Duhem Modeling of Friction-Induced Hysteresis: Experimental Determination of Gearbox Stiction,” IEEE Contr. Sys. Mag., Vol. 28, pp. 90-107, October 2008.
  189. N. A. Chaturvedi, N. H.McClamroch, and D. S. Bernstein, “Stabilization of a 3D Axially Symmetric Pendulum,” Automatica, Vol. 44, pp. 2258-2265, 2008.
  190. J. Chandrasekar, I. S. Kim, D. S. Bernstein, A. J. Ridley, “Reduced-Rank Unscented Kalman Filtering Using Cholesky-Based Decomposition,” Int. J. Contr., Vol. 81, pp. 1779-1792, 2008.
  191. L. Liu, P. P. Friedmann, I. Kim, and D. S. Bernstein, “Rotor Performance Enhancement and Vibration Reduction in Presence of Dynamic Stall Using Actively Controlled Flaps,” J. American Helicopter Soc., Vol. 53, pp. 338-350, 2008.
  192. J. Oh, B. Drincic, and D. S. Bernstein, “Nonlinear Feedback Models of Hysteresis: Backlash, Bifurcation, and Multistability,” IEEE Contr. Sys. Mag., Vol. 29, pp. 100-119, February 2009.
  193. B. O. S. Teixeira, J. Chandrasekhar, L. A. B. Torres, L. A. Aguirre, and D. S. Bernstein, “State Estimation for Linear and Non-linear Equality-Constrained Systems,” Int. J. Contr., Vol. 82, pp. 918-936, 2009.
  194. N. A. Chaturvedi, N. H. McClamroch, and D. S. Bernstein, “Asymptotic Smooth Stabilization of the Inverted 3D Pendulum,” IEEE Trans. Autom. Contr., Vol. 54, pp. 1204-1215, 2009.
  195. V. Chellaboina, S. P. Bhat, W. M. Haddad, and D. S. Bernstein, “Modeling and Analysis of Mass Action Kinetics: Nonnegativity, realizability, reducibility, and semistability,” IEEE Contr. Sys. Mag., Vol. 29, pp. 60-78, August 2009.
  196. A. Sanyal, A. Fosbury, N. Chaturvedi, and D. S. Bernstein, “Inertia-Free Spacecraft Attitude Tracking with Disturbance Rejection and Almost Global Stabilization,” AIAA J. Guid. Contr. Dyn., Vol. 32, pp. 1167-1178, 2009.
  197. S. P. Bhat and D. S. Bernstein, “Average-Preserving Symmetries and Energy Equipartition in Linear Hamiltonian Systems,” Math. Contr. Sig. Sys., Vol. 21, pp. 127-146, 2009.
  198. H. Palanthandalam-Madapusi, T. H. Van Pelt, and D. S. Bernstein, “Existence Conditions for Quadratic Programming with a Sign-Indefinite Quadratic Equality Constraint,” J. Global Optim., Vol. 45, pp. 533-549, 2009.
  199. I. S. Kim, B. O. S. Teixeira, J. Chandrasekar, and D. S. Bernstein, “Reduced-Order Kalman Filtering for Time-Varying Systems,” Asian J. Contr., Vol. 11, pp. 595-609, 2009.
  200. H. Palanthandalam-Madapusi and D. S. Bernstein, “A Subspace Algorithm for Simultaneous Identification and Input Reconstruction,” Int. J. Adaptive Contr. Sig. Proc., Vol. 23, pp. 1053-1069, 2009.
  201. B. O. S. Teixeira, L. A. B. Torres, L. A. Aguirre, and D. S. Bernstein, “On Unscented Kalman Filtering with State Interval Constraints,” J. Process Contr., Vol. 20, pp. 45-57, 2010.
  202. B.-E. Jun, D. S. Bernstein, and N. H. McClamroch, “Identification of the Inertia Matrix of a Rotating Body Based on Errors-in-Variables Models,” Int. J. Adaptive Contr. Sig. Proc., Vol. 24, pp. 203-210, 2010.
  203. M. A. Santillo and D. S. Bernstein, “Adaptive Control Based on Retrospective Cost Optimization,” AIAA J. Guid. Contr. Dyn., Vol. 33, pp. 289-304, 2010.
  204. H. Palanthandalam-Madapusi, T. Van Pelt, and D. S. Bernstein, “Parameter Consistency and Quadratically Constrained Errors-in-Variables Least-Squares Identification,” Int. J. Contr., Vol. 83, pp. 862-877, 2010.
  205. S. P. Bhat and D. S. Bernstein, “Arc-Length-Based Lyapunov Tests for Convergence and Stability with Applications to Systems Having a Continuum of Equilibria,” Math. Contr. Sig. Sys., Vol. 22, pp. 156–184, 2010.
  206. O. M. Baksalary, D. S. Bernstein, and G. Trenkler, “On the Equality between Rank and Trace of an Idempotent Matrix,” Applied Mathematics and Computation, Vol. 217, pp. 4076–4080, 2010.
  207. S. Kirtikar, H. Palanthandalam-Madapusi, E. Zattoni, and D. S. Bernstein, “l-Delay Input and Initial-State Reconstruction for Discrete-Time Linear Systems,” Circ. Sys. Sig. Processing, Vol. 30, pp. 233–262, 2011.
  208. J. Yan, J. B. Hoagg, R. E. Hindman, and D. S. Bernstein, “Longitudinal Aircraft Dynamics and the Instantaneous Acceleration Center of Rotation: The Case of the Vanishing Zeros,” IEEE Contr. Sys. Mag., Vol. 30, pp. 68–92, 2011.
  209. A. M. D’Amato, A. J. Ridley, and D. S. Bernstein, “Retrospective-Cost-Based Adaptive Model Refinement for the Ionosphere and Thermosphere,” Statistical Analysis and Data Mining, Vol. 4, pp. 446–458, 2011.
  210. H. J. Palanthandalam-Madapusi, A. Girard, and D. S. Bernstein, “Wind-field Reconstruction from Flight Data Using an Unbiased Minimum-variance Unscented Filter,” Trans. Inst. Meas. Contr., Vol. 33, pp. 718–733, 2011.
  211. A. M. D’Amato, B. O. S. Teixeira, and D. S. Bernstein, “Semiparametric Identification of Wiener Systems Using a Single Harmonic Input and Retrospective Cost Optimization,” IET Contr. Theory Appl., Vol. 5, ppl. 594–605, 2011.
  212. B. Drincic, X. Tan, and D. S. Bernstein, “Why Are Some Hysteresis Loops Shaped Like a Butterfly?,” Automatica, Vol. 47, pp. 2658–2664, 2011.
  213. M. H. Holzel and D. S. Bernstein, “From Polynomial Matrices to Markov Parameters and Back: Theory and Numerical Algorithms,” Lin. Alg. Appl., Vol. 437, pp. 783-808, 2012.
  214. J. B. Hoagg and D. S. Bernstein, “Retrospective Cost Model Reference Adaptive Control for Nonminimum-Phase Systems,” AIAA J. Guid. Contr. Dyn., Vol. 35, pp. 1767-1786, 2012.
  215. A. Weiss, I. Kolmanovsky, D. S. Bernstein, and A. Sanyal, “Inertia-Free Spacecraft Attitude Control Using Reaction Wheels,” AIAA J. Guid. Contr. Dyn., Vol. 36, pp. 1425–1439, 2013.
  216. A. V. Morozov, A. J. Ridley, D. S. Bernstein, N. Collins, T. J. Hoar, and J. L. Anderson “Data Assimilation and Driver Estimation for the Global Ionosphere–Thermosphere Model Using the Ensemble Adjustment Kalman Filter,” J. Atmospheric and Solar-Terrestrial Physics, Vol. 104, pp. 126–136, 2013.
  217. J. Yan and D. S. Bernstein, “Minimal Modeling Retrospective Cost Adaptive Control of Uncertain Hammerstein Systems Using Auxiliary Nonlinearities,” Int. J. Contr., Vol. 87, pp. 483-505, 2014.
  218. J. Yan, D. A. dos Santos, and D. S. Bernstein, “Adaptive Control with Convex Saturation Constraints,”’ IET Contr. Theory Appl., Vol. 8, pp. 1096–1104, 2014.
  219. M. Al Janaideh and D. S. Bernstein,“Adaptive Control of Hammerstein Systems with Unknown Prandtl-Ishlinskii Hysteresis,”  Proc. IMechE Part 1: J. Sys. Contr. Eng., pp. 1–9, 2014, DOI: 10.1177/0959651814551660.
  220. D. Sumer and D. S. Bernstein, “On the Role of Subspace Zeros in Retrospective Cost Adaptive Control of Nonsquare Plants,” Int. J. Contr., Vol. 88, pp. 295–323, 2015
  221. M. H. Holzel and D. S. Bernstein, “A Matrix Nullspace Approach for Solving Equality-Constrained Multivariable Polynomial Least-Squares Problems,” Automatica, Vol. 50, pp. 3030–3037, 2014.
  222. A. G. Burrell, A. Goel, A. J. Ridley, and D. S. Bernstein, “Correction of the Photoelectron Heating Efficiency Within the Global Ionosphere-Thermosphere Model Using Retrospective Cost Model Refinement,” J. Atmospheric Solar-Terrestrial Physics, Vol. 124, pp. 30–38, 2015, DOI 10.1016/j.jastp.2015.01.004.
  223. K. F. Aljanaideh and D. S. Bernstein, “Time-Domain Analysis of Sensor-to-Sensor Transmissibility Operators,” Automatica, Vol. 53, pp. 312–319, 2015.
  224. A. Prach, O. Tekinalp, and D. S. Bernstein, “Infinite-Horizon Linear-Quadratic Control by Forward Propagation of the Differential Riccati Equation,” IEEE Contr. Sys. Mag., Vol. 35, pp. 78-93, April 2015.
  225. K. F. Aljanaideh and D. S. Bernstein, “Time-Domain Analysis of Motion Transmissibilities in Force-Driven and Displacement-Driven Structures, J. Sound. Vibr., Vol. 347, pp. 169–183, 2015.
  226. K. F. Aljanaideh and D. S. Bernstein, “Aircraft Sensor Health Monitoring Based on Transmissibility Operators,”AIAA J. Guid. Contr. Dyn., Vol. 38, pp. 1492–1495, 2015.
  227. A. A. Ali, A. Goel, A. J. Ridley, and D. S. Bernstein, “Retrospective-Cost-Based Adaptive Input and State Estimation for the Ionosphere–Thermosphere,” J. Aerospace Information Systems, Vol. 12, pp. 767–783, 2015.
  228. A. A. Ali, J. B. Hoagg, M. Mossberg, and D. S. Bernstein, “On the Stability and Convergence of a Sliding-Window Variable-Regularization Recursive-Least-Squares Algorithm,” Int. J. Adaptive Contr. Sig. Proc., pp. 715–735, 2016. 
  229. M. Al Janaideh and D. S. Bernstein, “Adaptive Control of Hammerstein Systems with Unknown Input Nonlinearity and Partially Modeled Linear Dynamics,” Int. J. Contr. Autom. Sys., Vol. 14, pp. 957–966, 2016.
  230. K. F. Aljanaideh, J. R. Forbes, and D. S. Bernstein, “Do Unstable Systems Have Amplification and Phase Shift?,” IEEE Contr. Sys. Mag., Vol. 34, pp. 86–141, 2014.
  231. S. A. Ul Islam and D. S. Bernstein, “Is It Possible to Follow Position Commands Using Velocity Measurements?,” IEEE Contr. Sys. Mag., Vol. 36, pp. 93–98, December 2016.
  232. K. F. Aljanaideh and D. S. Bernstein, “Closed-Loop Identification of Unstable Systems Using Noncausal FIR Models,” Int. J. Contr., Vol. 90, pp. 184–201, 2017.
  233. S. Dai, Z. Ren, and D. S. Bernstein, “Adaptive Control of Nonminimum-Phase Systems Using Shifted Laurent Series,” Int. J. Contr., Vol. 90, pp. 409–422, 2017.
  234. A. Xie and D. S. Bernstein, “On Spatial Spillover in Feedforward and Feedback Noise Control,” J. Sound Vibr., Vol. 391, pp. 1–19, 2017.
  235. Y. Rahman and D. S. Bernstein, “Are All Full-Order Dynamic Compensators Observer-Based?,”IEEE Contr. Sys. Mag., Vol. 37, pp. 116–122, 2017.
  236. K. F. Aljanaideh and D. S. Bernstein, “A Behavioral Equation Framework for Time-Domain Transmissibilities,”Automatica, Vol. 78, pp. 20–24, 2017.
  237. L. Han, Z. Ren, and D. S. Bernstein, “Maneuvering Target Tracking Using Retrospective-Cost-Based Input Estimation,” IEEE Trans. Aerosp. Sys., Vol. 52, pp. 2495–2503, 2017.
  238. A. Ansari and D. S. Bernstein, “Retrospective Cost Adaptive Control of the Generic Transport Model Under Uncertainty and Failure,” J. Aerospace Information Systems, Vol. 14, pp. 123-174, 2017.
  239. X. Zhou, D. S. Bernstein, J. L. Stein, and T. Ersal, “Battery State of Health Monitoring by Estimation of Side Reaction Current Density via Retrospective-Cost Subsystem Identification,” J. Dyn. Sys. Meas. Contr., Vol. 139, pp. 091007-1–091007-15, 2017.
  240. Y. Rahman, A. Xie, and D. S. Bernstein, “Retrospective Cost Adaptive Control: Pole Placement, Frequency Response, and Connections with LQG Control,” IEEE Contr. Sys. Mag., Vol. 37, pp. 28–69, October 2017.
  241. K. F. Aljanaideh and D. S. Bernstein, “Experimental Application of Transmissibility Operators to Fault Detection and Localization in Acoustic Systems,” J. Vibr. Acoustics, Vol. 140, pp. 021017-1–021017-1, 2018.
  242. A. Prach and D. S. Bernstein, “Output-feedback control of linear time-varying and nonlinear systems using the forward propagating Riccati equation,” J. Vibr. Contr., Vol. 24, No. 7, pp. 1239–1263, 2018.
  243. K. F. Aljanaideh and D. S. Bernstein, “Initial Conditions in Time- and Frequency-Domain System Identification: Implications of the Shift Operator versus the Z Transform,” IEEE Contr. Sys. Mag., Vol. 38, pp. 80–93, April 2018.
  244. A. Goel, K. Duraisamy, and D. S. Bernstein,“Retrospective Cost Adaptive Control of Unstart in a Model Scramjet Combustor,” AIAA J., Vol. 56, pp. 1085–1096, 2018.
  245. A. Ansari and D. S. Bernstein, “Input Estimation for Nonminimum-Phase Systems with Application to Acceleration Estimation for a Maneuvering Vehicle,” IEEE Trans. Contr. Sys. Tech., IEEE Trans. Contr. Sys. Tech., Vol. 27, pp. 1596–1607, 2019.
  246. F. Sobolic, K. F. Aljanaideh, and D. S. Bernstein, “Direct and Indirect Closed-Loop Architectures for Estimating Nonminimum-Phase Zeros,” Int. J. Contr., available online.
  247. M. J. Yu and D. S. Bernstein, “Retrospective Cost Subsystem Estimation and Smoothing for Linear Systems with Structured Uncertainty,”J. Aero. Inf. Sys., J. Aero. Inf. Sys., Vol. 15, No. 10, pp. 566–584, 2018.
  248. A. Ansari and D. S. Bernstein, “Deadbeat State Estimation and Input Reconstruction for Discrete-Time Linear Systems,”Automatica, Vol. 203, pp. 11-19, 2019.
  249. D. S. Bernstein and O. Kouba, “Counting Colorful Necklaces and Bracelets in Three Colors,” Aequationes Mathematicae, Vol. 93, pp. 1183–1202, 2019.
  250. D. S. Bernstein, “On Feasible Body, Aerodynamic, and Navigation Euler Angles for Aircraft Flight,”  AIAA J. Guid. Contr. Dyn., Vol. 42, No. 5, pp. 1130–1135, 2019.
  251. A. Goel and D. S. Bernstein, “Gradient-, Ensemble-, and Adjoint-Free Data-Driven Parameter Estimation,” AIAA J. Guid. Contr. Dyn., Vol. 42, pp. 1743–1754, 2019.
  252. A. Prach, O. Kouba, and D. S. Bernstein, “How Slippery Is Viscous Friction?,” IEEE Contr. Sys. Mag., Vol. 39, pp. 73–82, June 2019.
  253. A. U. Islam and D. S. Bernstein, “Recursive Least Squares for Real-Time Implementation,” IEEE Contr. Sys. Mag., Vol. 39, pp. 82–85, June 2019.
  254. Ansari and D. S. Bernstein, “Input Estimation for Nonminimum-Phase Systems with Application to Acceleration Estimation for a Maneuvering Vehicle,” IEEE Trans. Contr. Sys. Tech., Vol. 27, pp. 1596–1607, 2019.
  255. A. U. Islam, E. L. Ratnam, A. Goel, and D. S. Bernstein, “Phasor-Based Adaptive Control of a Test-Feeder Distribution Network,” IEEE Contr. Sys. Mag., Vol. 39, pp. 56–74, August 2019.
  256. Zhao, G. Cruz, and D. S. Bernstein, “Adaptive Spacecraft Attitude Control Using Single-Gimbal Control Moment Gyroscopes without Singularity Avoidance,” AIAA J. Guid. Contr. Dyn., AIAA J. Guid. Contr. Dyn., Vol. 42, pp. 2342–2355, November 2019.
  257. S. Sanjeevini and D. S. Bernstein, “Minimal-Delay FIR Delayed Left Inverses for Systems with Zero Nonzero Zeros,” Sys. Contr. Lett., Vol. 133, Article 104552 (8 pages),
  258. D. S. Bernstein and V. H. Moll, “A Warning About Symbolic Integration,” Scientia, Series A: Mathematical Sciences, Vol. 29, pp. 7–9, 2019.
  259. K. F. Aljanaideh and D. S. Bernstein, “Output-Only Identification of Input-Output Models,” Automatica, vol. 113, article number 108686, 13 pages, March 2020.
  260. M. Kamaldar, S. A. U. Islam, S. Sanjeevini, A. Goel, J. B. Hoagg, and D. S. Bernstein, “Adaptive Digital PID Control of Sampled-Data Systems with First-Order-Lag-Plus-Dead-Time Dynamics and Sensor, Actuator, and Feedback Nonlinearities,” Advanced Control for Applications, Vol. 1, pp. 1–46, December 2019, DOI: 10. 1002/adc2.20.
  261. S. A. U. Islam, A. Goel, and D. S. Bernstein, “Real-Time Implementation of the Optimal Predictor and Optimal Filter: Accuracy versus Latency,” IEEE Contr. Sys. Mag., Vol. 40, pp. 84–91, April 2020.
  262. A. Goel, A. Bruce, and D. S. Bernstein, “Recursive Least Squares with Variable-Direction Forgetting: Compensating for the loss of persistency,” IEEE Contr. Sys. Mag., Vol. 40, pp. 80–102, August 2020.
  263. O. Kouba and D. S. Bernstein, “What Is the Adjoint of a Linear System?,” IEEE Contr . Sys. Mag., Vol. 40, pp. 62—70, June 2020.
  264. Sanjeevini and D. S. Bernstein, “Counting Zeros Using Observability and Block-Toeplitz Matrices,” IEEE Trans. Autom. Contr., Vol. 66, pp. 1301-1305, 2021.
  265. Bruce, A. Goel, and D. S. Bernstein, “Recursive Least Squares with Variable-Rate Forgetting,” Automatica, Vol. 119, pp. 1–6, Article 109052, 2020.
  266. K. F. Aljanaideh, O. Furdui, and D. S. Bernstein, “On the McMillan Degree of Full-Rank Transfer Functions,” Int. J. Contr., Vol. 94, No. 12, pp. 3439–3447, 2021.
  267. K. F. Aljanaideh and D. S. Bernstein, “Transmission Matrices for Physical-System Modeling,” IEEE Contr. Sys. Mag., Vol. 39, pp. 88–109, October 2019.
  268. A. Goel, A. Bruce, and D. S. Bernstein, “Recursive Least Squares with Variable-Direction Forgetting: Compensating for the loss of persistency,” IEEE Contr. Sys. Mag., Vol. 40, pp. 80–102, August 2020.
  269. M. Kamaldar, S. Sanjeevini, and D. S. Bernstein, “Revisiting Minimal Realizations,” {\it IEEE Contr. Sys. Mag.}, Vol. 41, pp. 70–79, 2021.
  270. M. Kamaldar and D. S. Bernstein, “Dynamic Output-Feedback Control of a Chain of Discrete-Time Integrators with Arbitrary Zeros and Asymmetric Input Saturation,” {\it Automatica}, Vol. 125, pp. 1–8, Article 109387, 2021.
  271. T. Nguyen, S. A. U. Islam, D. S. Bernstein, and I. Kolmanovsky, “Predictive Cost Adaptive Control: A Numerical Investigation of Persistency, Consistency, and Exigency,” IEEE Contr. Sys. Mag., Vol. 41, pp. 64–96, 2021.
  272. S. A. U. Islam, T. Nguyen, I. Kolmanovsky, and D. S. Bernstein, “Data-Driven Retrospective Cost Adaptive Control for Flight Control Applications,” J. Guid. Contr. Dyn., Vol. 44, pp. 1732–1758, October 2021.
  273. M. Kamaldar, S. A. U. Islam, J. B. Hoagg, and D. S. Bernstein, “Demystifying Enigmatic Undershoot in Setpoint Command Following,” IEEE Contr. Sys. Mag., Vol. 42, pp. 103-125, 2022.
  274. O. Kouba and D. S. Bernstein, “The Dynamics of a Bead Sliding on a Freely Rotating Horizontal Wire: An Analytical Solution,” Differential Equations and Dynamical Systems, 2021, Vol. 32, No. 2, pp. 363–375, 2024.
  275. A. Goel, B. Ponder, A. Ridley, and D. S. Bernstein, “Estimation of Thermal-Conductivity Coefficients in the Global Ionosphere-Thermosphere Model,” J. Aero. Inf. Sys., Vol. 17, pp. 546—553, No. 9, September 2020
  276. S. Sanjeevini, S. A. U. Islam, and D. S. Bernstein, “On the Zero Dynamics of Linear Input-Output Models,” Int. J. Contr., vol. 95, pp. 924—933, 2022.
  277. N. Mohseni and D. S. Bernstein, “Retrospective Cost Adaptive Harmonic Disturbance Rejection Using Dereverberated Target Models,” J. Sound Vibr., Vol. 523, p. 116692, 2022.
  278. A. Goel and D. S. Bernstein, “Injection-Constrained State Estimation,” AIAA J. Guid. Contr. Dyn., Vol. 45, pp. 990–1001, 2022.
  279. D. S. Bernstein, “Facing Future Challenges in Feedback Control of Aerospace Systems Through Scientific Experimentation,” AIAA J. Guid. Contr. Dyn., Vol. 45, pp. 2202–2210, 2022.
  280. J. Paredes, Y. Yang, and D. S. Bernstein, “Output-Only Identification of Self-Excited Systems Using Discrete-Time Lur’e Models with Application to a Gas-Turbine Combustor,”  Int. J. Contr., Vol. 97, No. 2, pp. 187–212, 2024.
  281. D. S. Bernstein, A. Goel, and O. Kouba, “Deriving Euler’s Equation for Rigid-Body Rotation via Lagrangian Dynamics with Generalized Coordinates,” Mathematics, Vol. 11, No. 12, 2023.
  282. B. M. Ponder, A. J. Ridley, A. Goel, and D. S. Bernstein, “Improving Forecasting Ability of GITM Using Data‐Driven Model Refinement” Space Weather, Vol. 21, No. 3, e2022SW003290, 2023.
  283. J. Paredes and D. S. Bernstein, “Experimental Implementation of Retrospective Cost Adaptive Control for Suppressing Thermoacoustic Oscillations in a Rijke Tube,” IEEE Trans. Contr. Sys. Tech., Vol. 31, No. 6, pp. 2484–2498, 2023.
  284. N. Mohseni, D. S. Bernstein, and M. B. Quadrelli, “Adaptive Force-Control Augmentation for Small Celestial Body Sampling,”  AIAA. J. Guid. Contr. Dyn., Vol. 46, No. 12, pp. 2265–2274, 2023.
  285. S. Sanjeevini and D. S. Bernstein, “Performance-variable decomposition in retrospective cost adaptive control of linear time-varying systems,” Sys. Contr. Lett., Vol. 185, pp. 1–12, 2024, article 105744.
  286. O. Kouba and D. S. Bernstein, “On the Dynamics of a Bead Sliding on a Freely Rotating Slanted Wire,”  J. Nonlinear Science, Vol. 34, article number 57, pp. 1–25, 2024.
  287. J. A. Paredes, R. Ramesh, M. Gamba, and D. S. Bernstein, “Experimental Application of a Quasi-Static Adaptive Controller to a Dual Independent Swirl Combustor,” Combustion Science and Technology, available online.
  288. S. Verma, S. Sanjeeveni, E. D. Sumer, and D. S. Bernstein, “Real-time numerical differentiation of sampled data using adaptive input and state estimation,” Int. J. Contr., available online.
  289. N. Mohseni and D. S. Bernstein, “Retrospective-Cost-Based Model Reference Adaptive Control of Nonminimum-Phase Systems,”  Int. J. Adaptive Contr. Sig. Proc., Vol. 38, pp. 2404–2422, 2024.
  290. B. Lai and D. S. Bernstein, “Efficient Batch and Recursive Least Squares for Matrix Parameter Estimation,” IEEE Contr. Sys. Lett., Vol. 8, pp. 1403–1408, 2024.
  291. M. Kamaldar, N. Mohseni, S. A. U. Islam, and D. S. Bernstein, “A Numerical and Experimental Investigation of Predictive Cost Adaptive Control for Noise and Vibration Suppression,” Mech. Sys. Sign. Proc., Vol. 221, pp. 1–42, 2024, paper 111711.
  292. J. Paredes, O. Kouba, and D. S. Bernstein, “Self-Excited Dynamics of Discrete-Time Lur’e Systems With Affinely Constrained, Piecewise-C1 Feedback Nonlinearities,” IEEE Open J. Contr. Sys., Vol. 3, pp. 214–224, 2024.