期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 63, 期 5, 页码 985-998出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.12.003
关键词
Delay-dependent; Stochastic time-delay systems; Nonlinear; H-infinity control; Linear matrix inequality
资金
- National Natural Science Foundation of China [61134012]
- Hubei Provincial Department of Education [Q20112907]
- Huanggang Normal University, China [10CB146]
This paper deals with the problems of robust stochastic stabilization and H-infinity for uncertain stochastic systems with time-varying delay and nonlinear perturbation. System uncertainties are assumed to be norm bounded and time delay is assumed to be bound and time varying with delay-derivative bounded by a constant, which may be greater than one. First, new delay-dependent criterion is proposed by exploiting delay-partitioned Lyapunov-krasovskii functional and by employing tighter integral equalities to estimate the upper bound of the stochastic differential of Lyapunov-krasovskii functional without ignoring some useful terms. Second, based on the criterion obtained, a delay-dependent criterion for the existence of a state feedback H-infinity controller that ensures robust stochastic stability and a prescribed H-infinity performance level of the closed-loop system for all admissible uncertainties is proposed. These developed results have advantages over some previous ones, in that they involve fewer matrix variables but have less conservatism and they also enlarge the application scope. New sufficient conditions are presented in terms of linear matrix inequality. Numerical examples are used to illustrate the effectiveness and feasibility of the proposed method. (C) 2011 Elsevier Ltd. All rights reserved.
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