Title :
On common quadratic Lyapunov functions for dynamic normal switched systems
Author :
Eisenbarth, G. ; Davis, J.M. ; Gravagne, I.
Author_Institution :
Dept. of Math., Baylor Univ., Waco, TX, USA
Abstract :
In this paper, we investigate when the Euclidean norm is a quadratic Lyapunov function for linear dynamic equations, and use this result to determine the existence of a stabilizing switching pattern for switched systems comprised of normal subsystem matrices. We then expand these results to establish sufficient conditions for the existence of common quadratic Lyapunov functions other than the Euclidean norm for switched systems comprised of normal matrices.
Keywords :
Lyapunov methods; matrix algebra; stability; time-varying systems; Euclidean norm; common quadratic Lyapunov functions; dynamic normal switched systems; linear dynamic equations; normal subsystem matrices; switching pattern stabilization; Control theory; Eigenvalues and eigenfunctions; Equations; Lyapunov methods; Stability; Switched systems; Switches; common Lyapunov functions; linear switched systems; normal matrix; time scales;
Conference_Titel :
System Theory (SSST), 2013 45th Southeastern Symposium on
Conference_Location :
Waco, TX
Print_ISBN :
978-1-4799-0037-4
DOI :
10.1109/SSST.2013.6524961
