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Exponential H filter design for stochastic Markovian jump systems with both discrete and distributed time-varying delays

Li Ma, Meimei Xu, Ruting Jia, Hui Ye (2014)

Kybernetika

This paper is concerned with the exponential H filter design problem for stochastic Markovian jump systems with time-varying delays, where the time-varying delays include not only discrete delays but also distributed delays. First of all, by choosing a modified Lyapunov-Krasovskii functional and employing the property of conditional mathematical expectation, a novel delay-dependent approach is developed to deal with the mean-square exponential stability problem and H control problem. Then, a mean-square...

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