时变不确定时滞系统的稳定性分析

为解决一类带有时变时滞不确定系统的鲁棒稳定性控制问题，通过细化不确定信息的结构，利用Lyapunov泛函方法,通过构造一种新的Lyapunov-Krasovskii泛函，给出了基于线性矩阵不等式的一种新的鲁棒稳定性判据。所得结论具有普遍性，所提方法不依赖于系统分解，适用于标准和非标准情形。

Stability Analysis of Singularly Perturbed Uncertain Systems with Time-Varying Delay

In order to deal with the stibility,a class of sability control prob lem for uncertain time-varying delay systems with state delay is investigated.B y materializing the uncertained structural informations, we construct a newly simpler LK(Lyapunov- Krasovskii) functionals for SPSs(Singularly Perturbed Systems) with time-varying delays,the new robust stability criterias are derived by constructing appropriate L-K functional based LMIs(Linear Matrix Inequalities) method.Which theorems deduced possess universality.The proposed methods do not depend on the system decomposition and therefore can be applied to both standard and nonstandard SPSs with time-delays.