An Improved Delay-Dependent Stability Analysis for Markovian Jump Systems With Interval Time-Varying-Delays

This paper put forward an improved stochastic stability condition for Markovian jump systems with interval time-varying delays. Markov jump parameters are modeled as a continuous-time Markov chain. We choose an improved Lyapunov–Krasovskii functional (LKF) and the linear matrix inequality (LMI) formulation, which can improve stability conditions with delay dependent and more suitable for solving related convex optimization problems. A new inequality processing method and the improved Wirtinger-based inequality with integral are used to deal with the LKF. The new results are showed by the LMI. At the end of this paper, some examples will be given to show that our method is effective and will bring lower conservatism.