Finite-Time 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, 1-10

Abstract:

This paper studies the problem of finite-time 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 control is obtained. Simulation results illustrate the effectiveness of the proposed method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:809290

DOI: 10.1155/2014/809290

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