DocumentCode
424972
Title
Necessary and sufficient conditions for stability of a class of second order switched systems
Author
Paul, Ayanendu ; Akar, Mehmet ; Safonov, Michael G. ; Mitra, Urbashi
Author_Institution
Dept. of Electr. Eng. Syst., Southern California Univ., Los Angeles, CA, USA
Volume
5
fYear
2004
fDate
June 30 2004-July 2 2004
Firstpage
4561
Abstract
For a special class of systems, it is shown that the existence of a common quadratic Lyapunov function (CQLF) is necessary and sufficient for the stability of an associated switched system under arbitrary switching. Furthermore, it is shown that the existence of a CQLF for N (N > 2) subsystems is equivalent to the existence of a CQLF for every pair of subsystems. An algorithm is proposed to compute a CQLF for the subsystems, when it exists, using the left and right eigenvectors of a critical matrix obtained from a matrix pencil.
Keywords
Lyapunov matrix equations; eigenvalues and eigenfunctions; stability; time-varying systems; common quadratic Lyapunov function; matrix pencil; right eigenvector; second order switched system;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2004. Proceedings of the 2004
Conference_Location
Boston, MA, USA
ISSN
0743-1619
Print_ISBN
0-7803-8335-4
Type
conf
Filename
1384030
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