Title :
Converse Lyapunov Theorem for Switched Stability of Switched Linear Systems
Author_Institution :
South China Univ. of Technol., Guangzhou
Abstract :
In this work, we prove that any switched asymptotically stable switched linear system admits a Lyapunov function that strictly decreases among at least one non-trivial state trajectory of the switched system. A stabilizing switching law is proposed based on the Lyapunov function.
Keywords :
Lyapunov methods; asymptotic stability; linear systems; time-varying systems; asymptotical stability; converse Lyapunov theorem; nontrivial state trajectory; switched linear systems; Asymptotic stability; Automation; Control systems; Educational institutions; Linear systems; Lyapunov method; Sun; Switched systems; Switches; Lyapunov function; Switched Linear Systems; Switched stability;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347049
