Improved delay-range-dependent stability criterion for Markovian jump systems with interval time-varying delay

The delay-range-dependent stability problem for Markovian jump systems (MJSs) with interval time-varying is studied in this paper. On the basis of Lyapunov-Krasovskii stability theorem, the variables with the less conservative constraint conditions are used in Lyapunov-Krasovskii functions (LKF) to ensure the positiveness of the LKF. As a result, some sufficient conditions for stochastic stability are proposed. Finally, two examples are provided to illustrate the merits of the proposed method.