Others

Book Chapters, Tutorials, Problems, Book Reviews, Patents, Books, and Bibliographies

  1. D. S. Bernstein and D. C. Hyland, “Optimal Projection for Uncertain Systems (OPUS): A Unified Theory of Reduced-Order, Robust Control Design,” in Large Space Structures: Dynamics and Control, S. N. Atluri and A. K. Amos, Eds., pp. 263-302, Springer-Verlag, New York, 1988.
  2. D. S. Bernstein, “Commuting Matrix Exponentials,” Problem 88-1, SIAM Review, Vol. 30, p. 123, 1988. (Also appears in Problems in Applied Mathematics, pp. 296-298, M. S. Klamkin, Ed., SIAM, 1990.)
  3. D. S. Bernstein, “Orthogonal Matrices and the Matrix Exponential,” Problem 90-18, SIAM Review, Vol. 32, p. 673, 1990.
  4. W. M. Haddad and D. S. Bernstein, “Optimal Reduced-Order Subspace-Observer Design With a Frequency-Domain Error Bound,” in Advances in Control and Dynamic Systems, Vol. 2, Part 2, pp. 23-38, C. T. Leondes, Ed., Academic Press, 1990.
  5. D. S. Bernstein and D. C. Hyland, “Optimal Projection Approach to Robust, Fixed-Structure Control Design,” in Mechanics and Control of Large Flexible Structures, pp. 237-293, J. L. Junkins, Ed., AIAA, 1990.
  6. 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,” in Control of Uncertain Dynamic Systems, S. P. Bhattacharyya and L. H. Keel, Eds., pp. 149-173, CRC Press, Boca Raton, FL, 1991.
  7. D. S. Bernstein and D. C. Hyland, “Compartmental Analysis and Power Flow Analysis for State Space Systems,” in Control of Uncertain Dynamic Systems, S. P. Bhattacharyya and L. H. Keel, Eds., pp. 175-202, CRC Press, Boca Raton, FL, 1991.
  8. D. S. Bernstein, “Review of Minimum Entropy H1 Control,” IEEE Trans. Autom. Contr., Vol. 37, pp. 1276-1277, 1992.
  9. B. Wie and D. S. Bernstein, “Benchmark Problems for Robust Control Design,” AIAA J. Guid. Contr. Dyn., Vol. 15, pp. 1057-1059, 1992.
  10. 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.
  11. D. S. Bernstein and A. N. Michel, “A Chronological Bibliography on Saturating Actuators,” Int. J. Robust Nonlinear Contr., Vol. 5, pp. 375-380, 1995.
  12. D. S. Bernstein, “Some Matrix Integral Identities,” Problem 96-5, SIAM Review, Vol. 38, pp. 147-148, 1996.
  13. F. Tyan and D. S. Bernstein, “Dynamic Output Feedback Compensation for Systems with Input Saturation,” in Control of Uncertain Systems with Bounded Inputs, pp. 129-164, Lecture Notes in Control and Information Sciences, Vol. 227, S. Tarbouriech and G. Garcia, Eds., Springer, 1997.
  14. D. S. Bernstein, “A Student’s Guide to Classical Control,” IEEE Contr. Sys. Mag., Vol. 17, pp. 96-100, August 1997.
  15. D. S. Bernstein, “Control Experiments and What I Learned From Them: A Personal Journey,” IEEE Contr. Sys. Mag., Vol. 18, pp. 81-88, April 1998.
  16. 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.
  17. D. S. Bernstein, “A Student’s Guide to Research,” IEEE Contr. Sys. Mag., Vol. 19, pp. 102-108, February 1999.
  18. D. S. Bernstein, “Enhancing Undergraduate Control Education,” IEEE Contr. Sys. Mag., Vol. 19, pp. 40-43, October 1999.
  19. D. S. Bernstein, “On Bridging the Theory/Practice Gap,” IEEE Contr. Sys. Mag., Vol. 19, pp. 64-70, December 1999.
  20. D. S. Bernstein, “The Frequency Domain,” IEEE Contr. Sys. Mag., Vol. 20, pp. 8-14, April 2000.
  21. D. S. Bernstein, “Peer Review,” IEEE Contr. Sys. Mag., Vol. 20, pp. 8-11, June 2000.
  22. D. S. Bernstein, “A Plant Taxonomy for Designing Control Experiments,” IEEE Contr. Sys. Mag., Vol. 21, pp. 7-14, June 2001.
  23. D. S. Bernstein, “Sensor Performance Specifications,” IEEE Contr. Sys. Mag., Vol 21, pp. 9-18, August 2001.
  24. R. Venugopal and D. S. Bernstein, United States Patent 6,208,739 Noise and Vibration Suppression Method and System, March 27, 2001.
  25. V. Rao and D. S. Bernstein, “Naive Control of the Double Integrator,” IEEE Contr. Sys. Mag., Vol. 21, pp. 86-97, October 2001.
  26. D. S. Bernstein and L. G. Bushnell, “The History of Control: From Idea to Technology,” IEEE Contr. Sys. Mag., Vol. 22, pp. 21-23, April 2002.
  27. D. S. Bernstein, “Feedback Control: An Invisible Thread in the History of Technology,” IEEE Contr. Sys. Mag., Vol. 22, pp. 53-68, April 2002.
  28. D. S. Bernstein, “What Makes Some Control Problems Hard?,” IEEE Contr. Sys. Mag., Vol. 22, pp. 8-19, August 2002.
  29. D. S. Bernstein, “Introducing Signals, Systems, and Control in K-12,” IEEE Contr. Sys. Mag., Vol. 23, pp. 10-12, April 2003.
  30. D. S. Bernstein and J. Apkarian, “Experiments for Control Research,” IEEE Contr. Sys. Mag., Vol. 23, pp. 10-13, October 2003.
  31. D. S. Bernstein, “Setting Up and Running a Control Research Laboratory,” IEEE Contr. Sys. Mag., Vol. 23, pp. 14-19, October 2003.
  32. D. S. Bernstein, “Review of Modeling and Simulation for Automatic Control,” IEEE Contr. Sys. Mag., Vol. 23, pp. 87-88, October 2003.
  33. D. S. Bernstein, “Review of When Least is Best,” IEEE Contr. Sys. Mag., Vol. 24, pp. 84-87, June 2004.
  34. D.S. Bernstein, Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory. Princeton University Press, 2005.
  35. D. S. Bernstein, “The Quanser DC Motor Control Trainer,” IEEE Contr. Sys. Mag., Vol. 25, pp. 90-93, June 2005.
  36. D. S. Bernstein, “Review of Bicycling Science,” IEEE Contr. Sys. Mag., Vol. 25, pp. 81-83, August 2005.
  37. D. E. Davison, J. Chen, S. R. Ploen, and D. S. Bernstein, “What Is Your Favorite Book on Classical Control?,” IEEE Contr. Sys. Mag., Vol. 27, pp. 89-94, 99, June 2007.
  38. K. H. Lundberg and D. S. Bernstein, “ODEs with Differentiated Inputs: Specifying Preinitial Conditions,” IEEE Contr. Sys. Mag., Vol. 27, pp. 95-97, June 2007.
  39. J. Chen, K. H. Lundberg, D. E. Davison, and D. S. Bernstein, “The Final Value Theorem Revisited: Infinite Limits and Irrational Functions,” IEEE Contr. Sys. Mag., Vol. 27, pp. 97-99, June 2007.
  40. D. S. Bernstein, “Ivory Ghost,” IEEE Contr. Sys. Mag., Vol. 27, pp. 16-17, October 2007.
  41. D. S. Bernstein, “Newton’s Frames,” IEEE Contr. Sys. Mag., Vol. 28, pp. 17-18, February 2008.
  42. D.S. Bernstein, Matrix Mathematics: Theory, Facts, and Formulas. Princeton University Press, Second Edition, 2009.
  43. D. S. Bernstein, A. M. D’Amato, J. B. Hoagg, and M. A. Santillo, “Comments on ‘Output feedback adaptive command following and disturbance rejection for nonminimum phase uncertain dynamical systems’,” Int. J. Adaptive Contr. Sig. Proc., Vol. 25, pp. 374-378, 2011.
  44. F. Tyan and D. S. Bernstein, “Reply to ‘Comments on the Examples in “Dynamic Output Feedback Compensation for Systems with Independent Amplitude and Rate Saturations” ’,” Int. J. Contr., Vol. 72, pp. 1231-1233, 1999.
  45. M. Camblor, A. Weiss, G. Cruz, Y. Rahman, S. Esteban, I. Kolmanovsky, and D. S. Bernstein, A Comparison of Nonlinear PI and PID Inertia-Free Spacecraft Attitude Control Laws, in Advances in Estimation, Navigation, and Spacecraft Control, Selected Papers of the Itzhack Y. Bar-Itzhack Memorial Symposium on Estimation, Navigation, and Spacecraft Control, edited by D. Choukroun, Y. Oshman, J. Thienel, and M. Idan, pp. 517–541, 2015. 

Technical Reports

  1. B. Drincic and D. S. Bernstein, “A Frictionless Bristle-Based Friction Model That Exhibits Hysteresis and Stick-Slip Behavior.”
  2. B. Drincic and D. S. Bernstein, “A Frictionless Bristle-Based Friction Model That Exhibits Hysteresis and the Dynamic Stribeck Effect✩.