Abstract:In this paper,the delay-range-dependent exponential stability problems for Ito^ stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d(t) ≤h 2 are investigated.In terms of linear matrix inequalities,the criteria of less conservative delay-range-dependent stability for Ito^ stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities.Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.