P. Antsaklis, M. Lemmon, and J. A. Stiver, Modeling and design of hybrid control systems,Proc. IEEE Mediterranean Symp. on New Directions in Control & Automation, Krete, Greece, June 1994, pp. 440–447.
P. Antsaklis, W. Kohn, A. Nerode, and S. Sastry, eds.,Hybrid Systems II
, Lecture Notes in Computer Science, vol. 999, Springer, New York, 1995.Google Scholar
B. R. Barmish,New Tools for Robustness of Linear Systems
, Macmillan, New York, 1994.Google Scholar
M. S. Branicky, Topology of hybrid systems,Proc. IEEE Conf. Dec. Contr., San Antonio, TX, Dec. 1993, pp. 2309–2314.
M. S. Branicky, Stability of switched and hybrid systems,Proc. IEEE Conf. Dec. Contr., Lake Buena Vista, FL, Dec. 1994, pp. 3498–3503.
M. Dogruel and Ü. Özgüner, Modeling and stability issues in hybrid systems, in,, 1995, pp. 148–165.Google Scholar
R. Fierro and F. L. Lewis, A framework for hybrid control design,IEEE Trans. Syst., Man, Cyber., vol. 27-A, no. 6, 1997, to appear.
R. Fierro, F. L. Lewis, and C. T. Abdallah, Common, multiple and parametric Lyapunov functions for a class of hybrid dynamical systems,Proc. IEEE Mediterranean Symp. on New Directions in Control & Automation, Krete, Greece, June 1996, pp. 77–82.
A. F. Filippov,Differential Equations with Discontinuous Righthand Sides
, Kluwer Academic Publishers, Dordrecht, 1988.Google Scholar
L. El Ghaoui, R. Nikoukhah, and F. Delebecque, LMITOOL: A package for LMI optimization,Proc. IEEE Conf. Dec. Contr., New Orleans, LA, Dec. 1995, pp. 3096–3101.
H. K. Khalil,Nonlinear Systems
, Macmillan, New York, 1992.Google Scholar
M. Lemmon and C. Bett, Robust hybrid control system design,Proc. IFAC 13th Triennial World Congress, San Francisco, June 1996, pp. 395–400.
K. Liu and F. L. Lewis, Adaptive tuning of fuzzy logic identifier for unknown nonlinear systems,Int. J. Adaptive Control and Signal Processing
, vol. 8, pp. 573–586, 1994.Google Scholar
J. Lygeros, A formal approach to fuzzy modeling, Tech. Rep. UCB/ERL M95/15, Electronics Research Laboratory, University of California Berkeley, March 1995.
J. Malmborg, B. Bernhardsson, and K. J. Aström, A stabilizing switching scheme for multicontroller systems,Proc. IFAC 13th Triennial World Congress, San Francisco, CA, June 1996, pp. 229–234.
J. M. Mendel, Fuzzy logic systems for engineering: A tutorial,Proc. IEEE
, vol. 83, no. 3, pp. 345–377, 1995.Google Scholar
A. Nerode and W. Kohn, Models for hybrid systems: Automata, topologies, controllability, observability,Hybrid Systems
, Lecture Notes in Computer Science, R. Grossman, A. Nerode, A. Ravn, and H. Rischel, eds., vol. 736, Springer, New York, 1993, pp. 317–356.Google Scholar
P. Peleties and R. A. DeCarlo, Asymptotic stability of m-switched systems based on Lyapunov-like functions,Proc. American Contr. Conf., Boston, MA, June 1991, pp. 1679–1683.
W. A. Sethares, B. D. O. Anderson, and C. R. Johnson, Jr., Adaptive algorithms with filtered regressor and filtered error,Math. Contr. Sig. Syst.
, no. 2, pp. 381–403, 1989.Google Scholar
J. Shamma and M. Athans, Guaranteed properties of gain scheduled control for linear parametervarying plants,Automatica
, vol. 27, no. 3, pp. 559–564, 1991.Google Scholar
D. Shevitz and B. Paden, Lyapunov stability theory of nonsmooth systems,IEEE Trans. Autom. Contr.
, vol. 39, no. 9, pp. 1910–1914, 1994.Google Scholar
J. E. Slotine and W. Li,Applied Nonlinear Control
, Prentice-Hall, Englewood Cliffs, NJ, 1991.Google Scholar
K. Tanaka and M. Sugeno, Stability analysis and design of fuzzy control systems,Fuzzy Sets Syst.
, vol. 45, no. 2, pp. 135–156, 1992.Google Scholar
H. O. Wang, K. Tanaka, and M. F. Griffin, An approach to fuzzy control of nonlinear systems: Stability and design issues,IEEE Trans. Fuzzy Syst.
, vol. 4, no. 1, pp. 14–23, 1996.Google Scholar
H. Ye, A. N. Michel, and L. Huo, Stability theory for hybrid dynamical systems,Proc. IEEE Conf. Dec. Contr., New Orleans, LA, Dec. 1995, pp. 2679–2684.