DocumentCode
425182
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
Volume
4
fYear
2004
fDate
June 30 2004-July 2 2004
Firstpage
3881
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;
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
1384518
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