【摘要】 研究了时变时滞满足h1≤d(t)≤h2的I■型随机Markov切换系统的区间时滞相关指数稳定性。基于时滞分割的思想,建立了新颖的Lyapunov-Krasovskii泛函,并引入一些改进的积分等式,以线性矩阵不等式的形式给出了低保守性的区间时滞相关指数稳定条件。最后用几个数值算例说明该结论的有效性及其较低的保守性。更多还原

【Abstract】 The delay-range-dependent exponential stability problems for I■ stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d(t)≤h2 are investigated.In terms of linear matrix inequalities,a less conservative delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay and introducing new integral-equality approaches.Numerical examples are provided to demonstrate the effectiveness and less conservativeness of the results.更多还原