DocumentCode
1751502
Title
On the stability of pairwise triangularisable and related switching systems
Author
Shorten, Robert ; Cairbre, Fiacre Ó
Author_Institution
Dept. of Comput. Sci., Nat. Univ. of Ireland, Maynooth, Ireland
Volume
3
fYear
2001
fDate
2001
Firstpage
1882
Abstract
It was conjectured in Shorten and Cairbre (2000) that, a sufficient condition for the asymptotic stability of a given switching system is that the component systems are asymptotically stable, and a set of non-singular matrices exists such that the matrices are upper triangular (pairwise triangular). In this paper we show that while the general condition of pairwise triangularisability is not sufficient to guarantee asymptotic stability, the ideas developed in the above paper can be extended to prove asymptotic stability of the origin for a related class of switching system
Keywords
asymptotic stability; matrix algebra; time-varying systems; asymptotic stability; nonsingular matrices; pairwise triangularisable systems; sufficient condition; switching systems; Artificial intelligence; Asymptotic stability; Computer science; Eigenvalues and eigenfunctions; Mathematics; Sufficient conditions; Switching systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2001. Proceedings of the 2001
Conference_Location
Arlington, VA
ISSN
0743-1619
Print_ISBN
0-7803-6495-3
Type
conf
DOI
10.1109/ACC.2001.946011
Filename
946011
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