中文摘要：

本文研究了时变时滞与模型相关的随机马尔可夫跳变系统的时滞相关稳定性问题.通过建立时变时滞与模型相关的系统模型,构造不同的Lyapunov-Krasovskii函数,并通过引入改进的积分等式,以线性矩阵不等式的形式提出了具有较小保守性的时滞依赖稳定性条件.最后用几个数值算例说明本文结论的有效性及较低的保守性.

英文摘要：

The delay-dependent stability problem for Markovian jump systems with mode-dependent time-varying delays is investigated.In terms of linear matrix inequalities,we propose a less conservative delay-dependent stability criterion for Markovian jump systems.This work includes the construction of a system model in which the jumps of the time-varying delays are model-dependent,develop a different Lyapunov-Krasovskii functional and introduce some improved integralequalities.Numerical examples are provided to demonstrate the efficiency and the reduced conservatism of the results.