Dissipativity and stabilization for delayed stochastic systems with switched control

Author

Wu Yonghong ; Guan Zhi-Hong ; Liao Rui-Quan ; Li Tao

Author_Institution

Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

fYear

2010

fDate

29-31 July 2010

Firstpage

1085

Lastpage

1090

Abstract

In this paper, dissipativity problems of stochastic systems with time delays are introduced. Sufficient conditions for exponential dissipativity and dissipativity are derived with respect to quadratic supply rates by Lyapunov functional methods. Stochastic stability is achieved under assumptions of supply rates when the time-delay stochastic systems are exponential dissipative and dissipative. The exponential stabilization criteria is obtained under switched controllers in the mean square sense.

Keywords

Lyapunov methods; asymptotic stability; delay systems; mean square error methods; stochastic systems; Lyapunov functional method; dissipativity problem; exponential dissipativity; exponential stabilization criteria; mean square sense; quadratic supply rate; stochastic stability; switched control; time-delay stochastic system; Asymptotic stability; Delay effects; Stability analysis; Stochastic processes; Stochastic systems; Switches; Dissipativity; Exponentially Stable; Stable in Probability; Stochastic Systems; Time Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5572021