Robust stabilization for stochastic time-delay systems with polytopic uncertainties

Author

Xu, Shengyuan ; Lam, James ; Zou, Yun ; Zhong, Ningfan ; Gao, Huijun ; Wan, Changhong

Author_Institution

Dept. of Autom., Nanjing Univ. of Sci. & Technol., China

Volume

3

fYear

2004

fDate

6-9 Dec. 2004

Firstpage

1747

Abstract

This paper considers the problem of robust stabilization for stochastic time-delay systems with convex polytopic uncertainties. Sufficient conditions for the solvability of the problem are obtained by using parameter-independent and parameter-dependent Lyapunov functional, respectively. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. A desired state feedback controller can be designed by solving a set of linear matrix inequalities.

Keywords

Lyapunov methods; computability; delay systems; delays; linear matrix inequalities; stability; state feedback; stochastic systems; uncertain systems; Lyapunov functional; convex polytopic uncertainties; linear matrix inequalities; robust stabilization; solvability; state feedback controller; stochastic time-delay systems; Artificial intelligence; Control systems; Delay systems; Linear feedback control systems; Robustness; State feedback; Stochastic systems; Symmetric matrices; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th

Print_ISBN

0-7803-8653-1

Type

conf

DOI

10.1109/ICARCV.2004.1469422

Filename

1469422