具有混合变时滞的时变切换中立系统的鲁棒指数稳定性分析

Robust exponential stability analysis for switched neutral systems with mixed time-varying delays

研究了一类具有混合变时滞的时变切换中立系统的鲁棒稳定性分析.基于分段Lyapunov-Krasovskii泛函方法,引入自由权矩阵,给出了时变切换中立系统在满足一定平均驻留时间切换条件下的指数稳定判据条件.

This paper focuses on analyzing robust stability for a class of switched neutral systems with mixed time-varying delays.Firstly,based on a piecewise Lyapunov-Krasovskii functional approach,by introducing free-weighting matrices,a sufficient condition for exponential stability is developed for an arbitrary switching signal satisfying an average dwell time condition.This condition is given in terms of linear matrix inequalities,which depends on not only the upper bounds of the time-varying delays but also the upper bounds of the derivatives of the time-varying delays.Last,we point out that the result proposed in this paper including the result of switched delay systems as a special case.