DocumentCode :
592624
Title :
On stability and dissipativity of stochastic nonlinear systems
Author :
Zhaojing Wu ; Peng Shi ; Karimi, Hamid Reza
Author_Institution :
Sch. of Math. & Informational Sci., Yantai Univ., Yantai, China
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
4029
Lastpage :
4034
Abstract :
Input-to-state stability of nonlinear control system is described in several different manners, and has been a central concept since the equivalences among them were verified. In this paper, a framework of stability and dissipativity for stochastic control systems is constructed on the maximal existence interval of behaviors (states and external inputs), by the aid of stochastic Barbalat lemma and stochastic dissipativity. The main work consists of three aspects. First, input-to-state stability and robust stability are extended to the stochastic case, and several criteria are established. Second, two forms of dissipativity and their criteria are presented. Third, the key relations among the definitions of stability and dissipativity are verified. Compared with the existing results on stochastic input-to-state stability, our methods allow for non-globally Lipschitz condition, dynamic inputs without knowledge about boundedness and non-smoothness of storage functions, which are more effective and convenient to be used in practice.
Keywords :
nonlinear control systems; stability; stochastic systems; Barbalat lemma; central concept; dissipativity; dynamic inputs; external inputs; input-to-state stability; maximal existence interval; nonglobally Lipschitz condition; nonlinear control system; robust stability; stochastic control systems; Educational institutions; Lyapunov methods; Nonlinear control systems; Nonlinear systems; Stability criteria; Dissipativity; Input-to-state stability; Stochastic systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6426999
Filename :
6426999
Link To Document :
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