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
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;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.783600
