DocumentCode
1327050
Title
A new general sufficient condition for almost sure stability of jump linear systems
Author
Fang, Yuguang
Author_Institution
Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA
Volume
42
Issue
3
fYear
1997
fDate
3/1/1997 12:00:00 AM
Firstpage
378
Lastpage
382
Abstract
In this paper, we study the almost sure stability of discrete time jump linear systems with a finite-state Markov-form process. A general condition for almost sure stability, which is a necessary and sufficient condition for (scalar) one-dimensional systems, is derived. Many simpler testable sufficient conditions for almost sure stability are derived from this sufficient condition
Keywords
Markov processes; discrete time systems; stability criteria; stochastic systems; 1D systems; almost sure stability condition; discrete time jump linear systems; finite-state Markov-form process; necessary and sufficient condition; scalar systems; Asymptotic stability; Control system synthesis; Delay; Linear systems; Probability distribution; State-space methods; Stochastic systems; Sufficient conditions; Symmetric matrices; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.557580
Filename
557580
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