DocumentCode
551185
Title
A converse Lyapunov theorems for stochastic finite-time stability
Author
Liu Haijun ; Mu Xiaowu
Author_Institution
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
fYear
2011
fDate
22-24 July 2011
Firstpage
1419
Lastpage
1423
Abstract
This note studies the problem of stochastic finite-time stability of stochastic nonlinear systems. The stochastic finite time stability means that systems can reach their equilibria in finite-time with a random meaning. Firstly stochastic settling-time function is presented by some function of system trajectory. Along this its properties are given. Secondly the continuity of settling-time function is analyzed. Lastly Lyapunov and converse Lyapunov theorems are given for stochastic finite-time stability.
Keywords
Lyapunov methods; nonlinear control systems; stability; stochastic systems; converse Lyapunov theorem; stochastic finite-time stability; stochastic nonlinear systems; stochastic settling-time function; Asymptotic stability; Control systems; Equations; Indium tin oxide; Lyapunov methods; Markov processes; Stability analysis; Converse Lyapunov Theorem; Settling-time Function; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2011 30th Chinese
Conference_Location
Yantai
ISSN
1934-1768
Print_ISBN
978-1-4577-0677-6
Electronic_ISBN
1934-1768
Type
conf
Filename
6001529
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