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Delay-dependent Stabilization of Singular Markovian Jump Systems with Distributed Delays*

This paper is concerned with the state-feedback stabilization for singular Markovian jump systems with distributed delays. Firstly, delay-dependent admissibility conditions are obtained by employing a mode-dependent Lyapunov-Krasovskii functional and applying the delay-partitioning technique. Secondly, strict LMI-based conditions for solving the stabilization problem are presented, based on which the desired controller gains can be determined. Finally, a numerical example is given to illustrate the effectiveness of the proposed methods.