Title :
A new stability result for switched linear systems
Author :
Kouhi, Y. ; Bajcinca, N. ; Raisch, Jorg ; Shorten, Robert
Author_Institution :
Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany
Abstract :
In this paper we extend the result by Shorten and Narendra on common quadratic Lyapunov functions for pairs of matrices in companion form. Specifically, we show that their result extends to more general matrix pairs provided that an associated transfer function matrix is symmetric. Examples are given to illustrate the usefulness of this result.
Keywords :
Lyapunov methods; linear systems; stability; time-varying systems; transfer function matrices; general matrix pairs; quadratic Lyapunov functions; stability; switched linear systems; transfer function matrix; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov methods; Switched systems; Switches; Symmetric matrices; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
