Title :
Extending LaSalle´s invariance principle to switched linear systems
Author :
Hespanha, João P.
Abstract :
In this paper we extend LaSalle´s invariance principle to certain classes of switched linear systems. In particular we illustrate how to prove asymptotic stability using multiple Lyapunov functions whose Lie derivatives are only negative semi-definite
Keywords :
Lie algebras; Lyapunov methods; asymptotic stability; observability; LaSalle invariance principle; Lie derivatives; asymptotic stability; multiple Lyapunov functions; switched linear systems; Asymptotic stability; Differential equations; H infinity control; Kernel; Linear systems; Logic; Lyapunov method; Signal generators; Switched systems; Symmetric matrices;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980638
