DocumentCode
2212866
Title
A result on the existence of common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems
Author
Mason, Oliver ; Shorten, Robert
Author_Institution
Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Ireland
Volume
5
fYear
2003
fDate
4-6 June 2003
Firstpage
4471
Abstract
This paper deals with the existence of weak and strong common quadratic Lyapunov functions (CQLFs) for pairs of stable discrete-time linear time-invariant (LTI) systems. The main result of the paper provides a simple characterization of pairs of such systems for which a weak CQLF of a given form exists but for which no strong CQLF exists. An application of this result to second order discrete-time LTI systems is presented.
Keywords
Lyapunov methods; discrete time systems; linear systems; common quadratic Lyapunov functions; discrete-time linear time invariant-systems; second order LTI systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2003. Proceedings of the 2003
ISSN
0743-1619
Print_ISBN
0-7803-7896-2
Type
conf
DOI
10.1109/ACC.2003.1240545
Filename
1240545
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