Delay-Dependent Robust Stabilization and H∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays

被引：0
|
作者：
T. Senthilkumar
P. Balasubramaniam
机构：
[1] Gandhigram Rural Institute-Deemed University,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2011年 / 151卷
关键词：
Robust ; control; Linear matrix inequality (LMI); Stochastic systems; Lyapunov–Krasovskii functional; Interval time-varying delays;
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中图分类号：
学科分类号：
摘要：
This paper considers the problems of delay-dependent robust stabilization and H∞ control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays. Based on the Lyapunov method and introducing some appropriate free-weighting matrices, sufficient conditions for the solvability of above problems have been investigated in terms of linear matrix inequalities (LMIs). Furthermore, the desired state feedback controller has also been designed by solving these LMIs. Finally, a numerical example is provided to demonstrate the potential of the proposed techniques.
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页码：100 / 120
页数：20
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