Title :
Hybrid systems techniques for convergence of solutions to switching systems
Author :
Goebel, Rafal ; Sanfelice, Ricardo G. ; Teel, Andrew R.
Author_Institution :
Univ. of California, Santa Barbara
Abstract :
Invariance principles for hybrid systems are used to derive invariance principles for nonlinear switching systems with multiple Lyapunov-like functions. Dwell-time, persistent dwell-time, and weak dwell-time solutions are considered. Asymptotic stability results are deduced under observability assumptions or common bounds on the Lyapunov-like functions.
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; time-varying systems; asymptotic stability; invariance principle; multiple Lyapunov-like function; nonlinear hybrid switching system; weak dwell-time; Asymptotic stability; Control systems; Differential equations; Laboratories; Lyapunov method; Nonlinear control systems; Observability; Sufficient conditions; Switching systems; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4435008
