Abstract

In this paper, the H ∞ controller design problem is investigated for the discrete-time Markovian jump linear system in the presence of incomplete transition descriptions. A less conservative criterion is presented such that the considered system is stochastically stable with a guaranteed H ∞ performance index by using the properties of the transition probabilities. In addition, a H ∞ state-feedback controller is proposed for the discrete-time Markovian jump system with incomplete transition description via LMI formulation. Finally, some simulation results are given to verify the effectiveness of the presented methods.

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