Abstract
In this paper, we focus on the problem of the stochastic stability for the time-delayed Markov Jump Lur’ e system. By using a improved relaxed integral inequality technologies, new delay-dependent stochastic stability criteria are proposed via Lyapunov- Krasovskii functional (LKF) approach. The stability conditions can be expressed as convex linear matrix inequality (LMI) framework, which can be solved by using standard LMI convex optimization solvers. Finally, a numerical example is presented to show the effectiveness of the proposed approach.
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