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Non-fragile H∞ control for neutral stochastic hybrid systems with time-varying delays
Chen Guici 1 * #,Shen Yi 2,Zhu Song 2
1.School of Science, Wuhan University of Science and Technology
2.Department of Control Science and Engineering, Huazhong University of Science and Technology
*Correspondence author
#Submitted by
Subject:
Funding: Specialized Research Fund for the Doctoral Program of Higher Education of China （No.20090142110040）
Opened online:30 September 2010
Accepted by: none
Citation: Chen Guici,Shen Yi,Zhu Song.Non-fragile H∞ control for neutral stochastic hybrid systems with time-varying delays[OL]. [30 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4386599
 
 
A robust non-fragile H∞ control problems for neutral stochastic hybrid systems with time-varying delay are studied in this paper. Firstly, a delay-dependent stochastic Markov jumping bounded real lemma is presented in terms of linear matrix inequalities (LMIs). Secondly, based on the bounded real lemma, for the additive controller uncertainties, delay-dependent sufficient conditions for the solvability of non-fragile H∞ control for neutral stochastic hybrid systems with time-varying delay are derived by taking a Lyapunov-Krasovskii functional and its derivative. The desired state feedback controller can be developed by solving some certain LMIs. At last, a numerical example is given to show the validity of the obtained results and the effectiveness of the proposed method.
Keywords:Non-fragile H∞ control; Neutral stochastic system; Markov jumping; Stochastic bounded real lemma; LMIs
 
 
 

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