Finite‐Time H∞ Control for Time‐Delayed Stochastic Systems with Markovian Switching

Wenhua Gao, Feiqi Deng, Ruiqiu Zhang and Wenhui Liu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper studies the problem of finite‐time H∞ control for time‐delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov‐Krasovskii functional and free‐weighting matrix techniques, some sufficient conditions of finite‐time stability for time‐delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov‐Krasovskii functional, the mode‐dependent state feedback controller for the finite‐time H∞ control is obtained. Simulation results illustrate the effectiveness of the proposed method.

Date: 2014
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https://doi.org/10.1155/2014/809290

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:809290

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