DocumentCode
390976
Title
A result on common quadratic Lyapunov functions
Author
Shorten, Robert ; Narendra, Kumpati S. ; Mason, Oliver
Author_Institution
Hamilton Inst., Maynooth, Ireland
Volume
3
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
2780
Abstract
In this paper we define strong and weak common quadratic Lyapunov functions (CQLFs) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of a special form, and the non-existence of a strong CQLF, for a pair of LTI systems, is characterised by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLFs for general LTI systems.
Keywords
Hermitian matrices; Lyapunov methods; eigenvalues and eigenfunctions; linear systems; stability; Hermitian matrix; LTI systems; eigenvalues; linear time-invariant systems; quadratic Lyapunov functions; stability; switched linear systems; Artificial intelligence; Eigenvalues and eigenfunctions; Equations; Linear systems; Lyapunov method; Sections; Stability; Sufficient conditions; Switching systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184262
Filename
1184262
Link To Document