DocumentCode
1377825
Title
Sufficient conditions for almost sure stability of jump linear systems
Author
Li, Z.G. ; Soh, Y.C. ; Wen, C.Y.
Author_Institution
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Volume
45
Issue
7
fYear
2000
fDate
7/1/2000 12:00:00 AM
Firstpage
1325
Lastpage
1329
Abstract
This paper derives less conservative conditions for almost-sure stability of jump linear systems by using the stochastic version of Lyapunov´s second method. To ensure the required stability, the Lyapunov function is only required to be nonincreasing along each of the specially organized subsequences of “jumgings”. This allows one to handle the case where some or even all subsystems are unstable and provides more choices of Lyapunov functions
Keywords
Discrete time systems; Linear systems; Lyapunov methods; Stability; Stochastic systems; Lyapunov function; almost sure stability; discrete time systems; jump linear systems; sufficient conditions; Automobiles; Equations; Linear systems; Lyapunov method; Probability distribution; Stability; State-space methods; Stochastic systems; Sufficient conditions; System testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.867032
Filename
867032
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