时滞依赖于模态的多面体不确定系统的均方指数稳定性

Exponential Stability in Mean-square of Polytopic Uncertain Systems with Mode-dependent Time Delays

文中讨论了一类多面体不确定系统的均方指数稳定性问题。考虑Markov跳变参数下的时滞依赖于模态的多面体不确定系统,构造Lyapunov-Krasovskii函数,得到了多面体不确定系统的均方指数稳定性判据,数值例子表明了此方法的可行性与有效性。

This article discusses the mean square exponential stability with a class of polytopic uncertain system. Considering a Markov switching jump system with mode - dependent delays, a mean square exponential stability criterion to polytopic uncertain systems is proposed using Lyapunov -Krasovskii function. A numerical example shows that the approach proposed is effective.