文章基本信息

标题：Delay-dependent optimal guaranteed cost control of stochastic neural networks with interval nondifferentiable time-varying delays
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作者：Grienggrai Rajchakit
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：241
DOI：10.1186/1687-1847-2013-241
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper studies the problem of a guaranteed cost control for a class of stochastic delayed neural networks. The time delay is a continuous function belonging to a given interval, but it is not necessarily differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some mean square exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functional, a guaranteed cost controller is designed via memory less state feedback control, and new sufficient conditions for the existence of the guaranteed cost state-feedback for the system are given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the obtained result.
关键词：stochastic neural networks ; guaranteed cost control ; mean square stabilization ; interval time-varying delays ; Lyapunov function ; linear matrix inequalities