Michael Malisoff's Research

1. Malisoff, M., and F. Mazenc, Constructions of Strict Lyapunov Functions, Communications and Control Engineering Series, Springer-Verlag London Ltd., London, UK, 2009. ISBN: 978-1-84882-534-5

2. Mazenc, F., and M. Malisoff, "Strict Lyapunov function constructions under LaSalle conditions with an application to Lotka-Volterra systems," Institute of Electrical and Electronics Engineers (IEEE) Transactions on Automatic Control, Volume 55, Issue 3, March 2010, to appear as regular paper. a
3. Mazenc, F., M. de Queiroz, and M. Malisoff, "Uniform global asymptotic stability of a class of adaptively controlled nonlinear systems,'' IEEE Transactions on Automatic Control, Volume 54, Issue 5, May 2009, pp. 1152-1158.
4. Mazenc, F., M. Malisoff, and J. Harmand, "Stabilization in a two-species chemostat with Monod growth functions," IEEE Transactions on Automatic Control, Volume 54, Issue 4, April 2009, pp. 855-861.
5. Mazenc, F., M. Malisoff, and O. Bernard, "A simplified design for strict Lyapunov functions under Matrosov conditions,'' IEEE Transactions on Automatic Control, Volume 54, Issue 1, January 2009, pp. 177-183.
6. Malisoff, M., F. Mazenc, and M. de Queiroz, "Tracking and robustness analysis for controlled microelectromechanical relays," International Journal of Robust and Nonlinear Control, Volume 18, Issue 18, December 2008, pp. 1637-1656.
7. Mazenc, F., M. Malisoff, and Z. Lin, "Further results on input-to-state stability for nonlinear systems with delayed feedbacks," Automatica, Volume 44, Issue 9, September 2008, pp. 2415-2421.
8. Malisoff, M., and F. Mazenc, "Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems," Nonlinear Analysis: Hybrid Systems, Volume 2, Issue 2, 2008, pp. 394-407.
9. Mazenc, F., M. Malisoff, and J. Harmand, "Further results on stabilization of periodic trajectories for a chemostat with two species," IEEE Transactions on Automatic Control, Volume 53, Special Issue on Systems Biology, January 2008, pp. 66-74.
10. Mazenc, F., M. Malisoff, and P. De Leenheer, "On the stability of periodic solutions in the perturbed chemostat," Mathematical Biosciences and Engineering, Volume 4, Number 2, April 2007, pp. 319-338.
11. Mazenc, F., and M. Malisoff, "Further results on Lyapunov functions for slowly time-varying systems," Mathematics of Control, Signals, and Systems, Volume 19, Number 1, February 2007, pp. 1-21.
12. Mazenc, F., M. Malisoff, and M. de Queiroz, "Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems," Automatica, Volume 42, Issue 10, October 2006, pp. 1663-1671.
13. Mazenc, F., M. de Queiroz, M. Malisoff, and F. Gao, "Further results on active magnetic bearing control with input saturation," IEEE Transactions on Control Systems Technology, Volume 14, Issue 5, September 2006, pp. 914-919.
14. Malisoff, M., M. Krichman, and E.D. Sontag, "Global stabilization for systems evolving on manifolds," Journal of Dynamical and Control Systems, Volume 12, Number 2, April 2006, pp. 161-184.
15. Mazenc, F., and M. Malisoff, "Further constructions of control-Lyapunov functions and stabilizing feedbacks for systems satisfying the Jurdjevic-Quinn conditions," IEEE Transactions on Automatic Control, Volume 51, Issue 2, February 2006, pp. 360-365.
16. Malisoff, M., and P. De Leenheer, "A small-gain theorem for monotone systems with multi-valued input-state characteristics," IEEE Transactions on Automatic Control, Volume 51, Issue 2, February 2006, pp. 287-292.
17. Krastanov, M., M. Malisoff, and P. Wolenski, "On the strong invariance property for non-Lipschitz dynamics," Communications on Pure and Applied Analysis, Volume 5, Issue 1, 2006, pp. 107-124.
18. Malisoff, M., and F. Mazenc, "Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems," Automatica, Volume 41, Issue 11, November 2005, pp. 1973-1978.
19. Malisoff, M., "Further results on Lyapunov functions and domains of attraction for perturbed asymptotically stable systems," Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Volume 12, Number 2, 2005, pp. 193-225.
20. Malisoff, M., L. Rifford, and E.D. Sontag, "Global asymptotic controllability implies input-to-state stabilization," Society for Industrial and Applied Mathematics (SIAM) Journal on Control and Optimization, Volume 42, Number 6, 2004, pp. 2221-2238.
21. Malisoff, M., "Bounded-from-below solutions of the Hamilton-Jacobi equation for optimal control problems with exit times: Vanishing Lagrangians, eikonal equations, and shape-from-shading," NoDEA Nonlinear Differential Equations and Applications, Volume 11, Number 1, 2004, pp. 95-122.
22. Malisoff, M., "Further results on the Bellman equation for optimal control problems with exit times and nonnegative Lagrangians," Systems and Control Letters, Volume 50, Issue 1, 2003, pp. 65-79.
23. Malisoff, M., "Viscosity solutions of the Bellman equation for exit time optimal control problems with vanishing Lagrangians," SIAM Journal on Control and Optimization, Volume 40, Number 5, 2002, pp. 1358-1383.
24. Malisoff, M., "Viscosity solutions of the Bellman equation for exit time optimal control problems with non-Lipschitz dynamics," European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimisation and Calculus of Variations, Volume 6, 2001, pp. 415-441.
25. Malisoff, M., and E.D. Sontag, "Universal formulas for feedback stabilization with respect to Minkowski balls," Systems and Control Letters, Volume 40, Issue 4, 2000, pp. 247-260.

26. Del Vecchio, D., M. Malisoff, and R. Verma, "A separation principle for a class of hybrid automata on a partial order,'' in Proceedings of the 2009 American Control Conference (St. Louis, MO, 10-12 June 2009), pp. 3638-3643.
27. Mazenc, M., and M. Malisoff, "Lyapunov functions under LaSalle conditions with an application to Lotka-Volterra systems,'' in Proceedings of the 2009 American Control Conference (St. Louis, MO, 10-12 June 2009), pp. 96-101. a
28. Mazenc, F., M. de Queiroz, and M. Malisoff, "Uniform global asymptotic stability of adaptively controlled nonlinear systems via strict Lyapunov functions," in Proceedings of the American Society of Mechanical Engineers (ASME) Dynamic Systems and Control Conference (Ann Arbor, MI, 20-22 October 2008), Paper DSCC2008-2167.
29. Malisoff, M., F. Mazenc, and M. de Queiroz, "Remarks on tracking and robustness analysis for MEM relays," in Proceedings of the 2008 American Control Conference (Seattle, WA, 11-13 June 2008), pp. 2945-2950.a
30. Mazenc, F., M. Malisoff, and O. Bernard, "Lyapunov functions and robustness analysis under Matrosov conditions with an application to biological systems," in Proceedings of the 2008 American Control Conference (Seattle, WA, 11-13 June 2008), pp. 2933-2938.a
31. Mazenc, F., M. Malisoff, and J. Harmand, "Stabilization and robustness analysis for a chemostat model with two species and Monod growth rates via a Lyapunov approach," in Proceedings of the 46th IEEE Conference on Decision and Control (New Orleans, LA, 12-14 December 2007), pp. 3933-3938.a
32. Mazenc, F., M. Malisoff, and J. Harmand, "Stabilization of a periodic trajectory for a chemostat with two species," in Proceedings of the 2007 American Control Conference (New York, NY, 11-13 July 2007), pp. 6128-6132.a,e
33. Mazenc, F., M. Malisoff, and Z. Lin, "On input-to-state stability for nonlinear systems with delayed feedbacks," in Proceedings of the 2007 American Control Conference (New York, NY, 11-13 July 2007), pp. 4804-4809.a,e
34. Mazenc, F., and M. Malisoff, "Lyapunov function constructions for slowly time-varying systems," in Proceedings of the 45th IEEE Conference on Decision and Control (San Diego, CA, 13-15 December 2006), pp. 5108-5113.a,d
35. Malisoff, M., and F. Mazenc, "On control-Lyapunov functions for hybrid time-varying systems," in Proceedings of the 45th IEEE Conference on Decision and Control (San Diego, CA, 13-15 December 2006), pp. 3265-3270.a
36. Mazenc, F., P. De Leenheer, and M. Malisoff, "Stabilizing a periodic solution in the chemostat: A case study in tracking," in Proceedings of the 45th IEEE Conference on Decision and Control (San Diego, CA, 13-15 December 2006), pp. 1794-1799.a
37. Mazenc, F., M. Malisoff, and M. de Queiroz, "On strict Lyapunov functions for rapidly time-varying nonlinear systems," in Proceedings of the American Control Conference (Minneapolis, MN, 14-16 June 2006), pp. 2303-2308.a,b
38. De Leenheer, P., and M. Malisoff, "Remarks on monotone control systems with multi-valued input-state characteristics," in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 05 (Seville, Spain, 12-15 December 2005), pp. 8012-8017.
39. Mazenc, F., and M. Malisoff, "Control-Lyapunov functions for systems satisfying the conditions of the Jurdjevic-Quinn Theorem," in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 05 (Seville, Spain, 12-15 December 2005), pp. 4724-4729.
40. Mazenc, F., M. de Queiroz, and M. Malisoff, "On active magnetic bearing control with input saturation," in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 05 (Seville, Spain, 12-15 December 2005), pp. 1090-1095.
41. Malisoff, M., and F. Mazenc, "Further constructions of strict Lyapunov functions for time-varying systems," in Proceedings of the American Control Conference (Portland, OR, 8-10 June 2005), Volume 3, pp. 1889-1894.
42. Malisoff, M., L. Rifford, and E.D. Sontag, "Remarks on input to state stabilization," in Proceedings of the 42nd IEEE Conference on Decision and Control (Maui, HI, 9-12 December 2003), Volume 1, pp. 1053-1058.
43. Malisoff, M., "Viscosity solutions of the Bellman equation for perturbed optimal control problems with exit times," in Proceedings of the 41st IEEE Conference on Decision and Control (Las Vegas, NV, 10-13 December 2002), Volume 2, pp. 2348-2353.
44. Malisoff, M., "Viscosity solutions of the Bellman equation for infinite horizon optimal control problems with negative instantaneous costs," in Proceedings of the 41st IEEE Conference on Decision and Control (Las Vegas, NV, 10-13 December 2002), Volume 1, pp. 722-727.
45. Malisoff, M., and H. Sussmann, "Further results on the Bellman equation for exit time optimal control problems with nonnegative Lagrangians: The case of Fuller's Problem," in Proceedings of the 39th IEEE Conference on Decision and Control (Sydney, Australia, 12-15 December 2000), Volume 3, pp. 2308-2310.
46. Malisoff, M., "An algorithm for feedback stabilization with respect to saturating controls using universal formulas for control-Lyapunov functions," in Proceedings of the American Control Conference (Chicago, IL, 28-30 June 2000), Volume 3, pp. 1771-1773.
47. Malisoff, M., "A remark on the Bellman equation for optimal control problems with exit times and noncoercing dynamics," in Proceedings of the 38th IEEE Conference on Decision and Control (Phoenix, AZ, 7-10 December 1999), Volume 1, pp. 877-881.
48. Malisoff, M., "On the Bellman equation for control problems with exit times and unbounded cost functionals," in Proceedings of the 38th IEEE Conference on Decision and Control (Phoenix, AZ, 7-10 December 1999), Volume 1, pp. 23-28. c
49. Malisoff, M., "A new result on the Bellman equation for exit time control problems with critical growth dynamics," in Proceedings of the 37th Annual Allerton Conference on Communication, Control, and Computing (Monticello, IL, 22-24 September 1999), pp. 657-658.
50. Malisoff, M., and E.D. Sontag, "Universal formulas for CLF's with respect to Minkowski balls," in Proceedings of the American Control Conference (San Diego, CA, 2-4 June 1999), Volume 5, pp. 3033-3037.

51. Malisoff, M., "Book review for Algebraic Methods for Nonlinear Control Systems by G. Conte, C. Moog, and A. Perdon (London: Springer, 2007)," IEEE Transactions on Automatic Control, Volume 52, Issue 12, December 2007, pp. 2395-2396.
52. Malisoff, M., and E.D. Sontag, "Asymptotic controllability and input-to-state stabilization: The effect of actuator errors," in Optimal Control, Stabilization, and Nonsmooth Analysis, Lecture Notes in Control and Information Sciences Vol. 301, Springer-Verlag, New York, 2004, pp. 155-171.
53. de Queiroz, M., M. Malisoff, and P. Wolenski, Eds., Optimal Control, Stabilization, and Nonsmooth Analysis, Lecture Notes in Control and Information Sciences Vol. 301, Springer-Verlag, New York, 2004. ISBN: 3-540-21330-9
54. Malisoff, M., Viscosity Solutions of the Bellman Equation for Optimal Control Problems with Exit Times, Ph.D. Thesis, Department of Mathematics, Rutgers University, New Brunswick, NJ, 2000. (Thesis Advisor: Hector J. Sussmann)

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