Title :
Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for M 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 M (>2) stable second order linear time-invariant systems
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; Hurwitz matrix; eigenvalues; linear time-invariant systems; necessary condition; quadratic Lyapunov function; second order systems; sufficient condition; Artificial intelligence; Ear; Eigenvalues and eigenfunctions; Equations; Linear systems; Lyapunov method; Sufficient conditions; Switching systems; Symmetric matrices;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878913
