Title :
A singularity test for the existence of common quadratic Lyapunov functions for pairs of stable LTI systems
Author :
King, Christopher ; Shorten, Robert
Author_Institution :
Dept. of Math., Northeastern Univ., Ireland
fDate :
June 30 2004-July 2 2004
Abstract :
In this paper we derive algebraic conditions that are both necessary and sufficient for a pair of stable third order linear time-invariant (LTI) systems to have a common quadratic Lyapunov function (CQLF). We also show how these results can be extended to derive necessary and sufficient conditions for the existence of a CQLF for pairs of LTI systems of arbitrary order.
Keywords :
Lyapunov methods; functions; linear systems; matrix algebra; algebraic conditions; common quadratic Lyapunov functions; linear time invariant systems; necessary condition; singularity test; stable third order LTI systems; sufficient condition;
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-8335-4
