New results on practical stabilization and practical reachability of switched systems

Proceedings of the American Control Conference

Volumn 6, Issue , 2005, Pages 3784-3789

  Xu, Xuping ^a   Zhai, Guisheng ^b  

^a BEHREND COLLEGE   (United States)

^b Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

STABILIZATION;

FINITE TIME INTERVALS;

SWITCHING SYSTEMS;

EID: 23944450534     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. T.M. Apostol. Mathematical Analysis, Second Edition, Addison-Wesley, 1975.
2. M.S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. on Automatic Contr., 43(4): 475-482, April 1998.
3. R. DeCarlo, M.S. Branicky, S. Pettersson, and B. Lennartson. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7): 1069-1082, July 2000.
4. V. Lakshmikantham, S. Leela, and A.A. Martynyuk. Practical Stability of Nonlinear Systems. World Scientific, 1990.
5. J.P. LaSalle and S. Lefschetz. Stability by Lyapunov's Direct Method with Applications. Academic Press, 1961.
6. D. Liberzon and A.S. Morse. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5): 59-70, October 1999.
7. D. Liberzon. Switching in Systems and Control, Birkhäuser, 2003.
8. A.N. Michel. Quantitative analysis of simple and interconnected systems: stability, boundedness and trajectory behavior. IEEE Trans. on Cir. The., 17: 292-301, 1970.
9. A.N. Michel. Analysis of discontinuous large-scale systems: stability, transient behavior and trajectory bounds. Int. J. Sys. Sci., 2: 77-95, 1971.
10. L. Weiss and E.F. Infante. Finite time stability under perturbing forces and on product spaces. IEEE Trans. on Automatic Contr., 12: 54-59, 1967.
11. X. Xu and P.J. Antsaklis. Practical stabilization of integrator switched systems. In Proceedings of the 2003 ACC, pp. 2767-2772, 2003.
12. X. Xu and G. Zhai. On practical stability and stabilization of hybrid and switched systems. Proc. of the 7th Intl. Workshop on Hybrid Systems - HSCC'04: Hybrid Systems: Computation and Control, LNCS 2993, pp. 615-630, Springer, 2004.
13. X. Xu. Practical stabilizability of a class of switched systems. In Proc. of the 2004 ACC, pp. 4537-4542, 2004.
14. G. Zhai and A.N. Michel. On practical stability of switched systems. In Proc. of 41st IEEE CDC, pp. 3488-3493, 2002.
15. G. Zhai and A.N. Michel. Generalized practical stability analysis of discontinuous dynamical systems. In Proc. of 42nd IEEE CDC, pp. 1663-1668, 2003.