DocumentCode
343075
Title
Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for two stable second order linear time-invariant systems
Author
Shorten, Robert N. ; Narendra, Kumpati S.
Author_Institution
Center for Syst. Sci., Yale Univ., New Haven, CT, USA
Volume
2
fYear
1999
fDate
2-4 Jun 1999
Firstpage
1410
Abstract
In this paper, necessary and sufficient conditions are derived for the existence of a common quadratic Lyapunov function for two stable second order linear time-invariant systems
Keywords
Lyapunov methods; asymptotic stability; discrete time systems; eigenvalues and eigenfunctions; linear systems; eigenvalues; exponential stability; linear time-invariant systems; necessary condition; quadratic Lyapunov function; second order systems; sufficient condition; Control theory; Ear; Eigenvalues and eigenfunctions; Lyapunov method; Stability analysis; Sufficient conditions; Switches; Switching systems; Symmetric matrices; Time invariant systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.783600
Filename
783600
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