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OALib Journal期刊
ISSN: 2333-9721
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Robust Stabilization of Uncertain Stochastic Distributed Delay Systems with Markovian Jumping Parameters-Based on LMIs Approach
基于LMIs方法-不确定性随机分布型时滞Markov跳变系统的鲁棒镇定

Keywords: stochastic stabilization,Grownwall-Bellman inequality,Markovian process,distributed delay systems
随机镇定
,GrownwallBellman不等式,Markov过程,分布型时滞系统

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Abstract:

A class of uncertain stochastic distributed delay systems with Markovian jumping parameters is investigated in this paper. The problem of robust stability in mean square on distributed delay systems with uncertainties and Markovian jumping parameters is considered. Robust stabilizability of state feedback controller is designed. Delay dependent LMI criteria are obtained based on the using of Grownwall-Bellman inequality and LMIs approach. The lower conservative criteria are shown. Simultaneously, the corresponding results for discrete delay systems are given.

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