It?型Markov切换系统时滞相关指数稳定性

Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays

摘要:

研究了时变时滞满足h1≤d(t)≤h2的It?型随机Markov切换系统的区间时滞相关指数稳定性.通过构造不同的Lyapunov-Krasovskii函数,并通过引入一些改进的积分等式方法,以线性矩阵不等式的形式提出了具有较小保守性的区间时滞依赖指数稳定性条件.最后通过数值算例说明本文结论的有效性及具有较低的保守性.

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.