Some results on practical asymptotic stabilizability of switched systems

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 3998-4003

  Xu, Ping ^a   Zhai, Guisheng ^b  

^a BEHREND COLLEGE   (United States)

^b Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; INVARIANCE; PARAMETER ESTIMATION; VECTORS;

ENERGY FUNCTIONS; SWITCHED AFFINE SYSTEMS; TIME INVARIANT SUBSYSTEMS; VECTOR FIELDS;

SWITCHING SYSTEMS;

EID: 33847222704     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582787     Document Type: Conference Paper

References (11)

1. M.S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control, 43(4): 475-482, April 1998.
2. 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.
3. H.K. Khalil. Nonlinear Systems, Third Edition, Prentice-Hall, 2002.
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. 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.
9. X. Xu. Practical stabilizability of a class of switched systems. In Proceedings of the 2004 American Control Conference, pp. 4537-4542, Boston, MA, July 2004.
10. X. Xu and G. Zhai. New results on practical stabilization and practical reachability of switched systems. In Proceedings of the 2005 American Control Conference, pp. 3784-3789, Portland, OR, June 2005.
11. X. Xu. Practical attractivity and practical asymptotic stabilizability of a class of switched systems. In Proceedings of the 2005 American Control Conference, pp. 3790-3791, Portland, OR, June 2005.