DocumentCode
830040
Title
Conditions on the stability of a class of second-order switched systems
Author
Akar, Mehmet ; Paul, Ayanendu ; Safonov, Michael G. ; Mitra, Urbashi
Author_Institution
Hamilton Insitute, Nat. Univ. of Ireland, Maynooth, Ireland
Volume
51
Issue
2
fYear
2006
Firstpage
338
Lastpage
340
Abstract
For a special class of systems, it is shown that the existence of a common quadratic Lyapunov function (CQLF) is necessary and sufficient for the stability of an associated switched system under arbitrary switching. Furthermore, it is shown that the existence of a CQLF for N (N>2) subsystems is equivalent to the existence of a CQLF for every pair of subsystems. An algorithm is proposed to compute a CQLF for the subsystems, when it exists, using the left and right eigenvectors of a critical matrix obtained from a matrix pencil.
Keywords
Lyapunov methods; set theory; stability; time-varying systems; arbitrary switching; associated switched system; common quadratic Lyapunov function; second-order switched systems; Eigenvalues and eigenfunctions; Lyapunov method; Stability; Sufficient conditions; Switched systems; Common quadratic Lyapunov function (CQLF); M-matrix; stability; switched systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.863512
Filename
1593912
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