Input-to-state stability of switched nonlinear systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 324-329

  Feng, Wei ^a   Zhang, Ji Feng ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Dwell time; Input to state stability; Lyapunov function; Switched system

Indexed keywords

LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS;

AVERAGE DWELL TIME; DWELL TIME; INPUT-TO-STATE STABILITY; MULTIPLE LYAPUNOV FUNCTION; QUANTITATIVE RELATIONS; SWITCHED LINEAR SYSTEM; SWITCHED NON-LINEAR SYSTEMS; SWITCHED SYSTEM;

SYSTEM STABILITY;

EID: 79960710663     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00708     Document Type: Conference Paper

References (12)

1. Angeli, D., E. D. Sontag and Y. Wang (2000). A Lyapunov characterization of integral input-to-state stability. IEEE Trans. Automatic Control, Vol.45, 1082-1097.
2. Angeli, D., E. D. Sontag and Y. Wang (2003). Input-to-state stability with respect to inputs and their derivatives. Int. J. Robust and Non-linear Control, Vol.13, 1035-1056.
3. Hespanha, J. P. and A. S. Morse (1999). Stability of switched systems with average dwell-time. Proc. of the 38th IEEE Conf. Decision Control, 2655-2660.
4. Liberzon, D. and A. S. Morse (1999). Basic problem in stability and design of switched systems. IEEE Contr. Systems, Vol.19, 59-70.
5. Lin, Y., E. D. Sontag and Y. Wang (1996). A smooth converse Lyapunov theorem for robust stability. SIAM J. Control and Optimization, Vol.34, 124-160.
6. Mancilla-Aguilar, J. L. and R. A. García (2001). On converse Lyapunov theorems for ISS and iISS switched nonlinear systems. Systems and Control Letters, Vol.42, 47-53.
7. Praly, L. and Y. Wang (1996). Stabilization in spite of matched unmodelled dynamics and an equivalent definition of input-to-state stability. Mathematical of control, Signals and Systems, Vol.9, 1-33.
8. Sontag, E. D. (1989). Smooth stabilization implies coprime factorization. IEEE Trans. Automatic Control, Vol.34, 435-443.
9. Sontag, E. D. and Y. Wang (1995). On characterization of the input-to-state stability property. Systems and Control Letters, Vol.24, 351-359.
10. Sontag, E. D. and Y. Wang (1996). New characterizations of input to state stability. IEEE Trans. Automatic Control, Vol.41, 1283-1294.
11. Sontag, E. D. and Y. Wang (2001). Lyapunov characterizations of input to output stability. SIAM J. Control and Optimization, Vol.39, 226-249.
12. Sun, Z. and S. S. Ge and T. H. Lee (2002). Controllability and reachability criteria for switched linear systems. Automatica, Vol.38, 775-786.