针对准单边Lipschitz不确定非线性时滞系统的稳定性分析

研究了一类不确定非线性时滞系统的鲁棒稳定性. 准单边Lipschitz条件被介绍, 并被用于估计非线性向量函数在稳定性分析中的影响. 线性矩阵不等式形式的时滞无关/时滞相关稳定性判据被得到. 此外, 即使系统系数是不稳定的, 这些稳定性判据也是可利用的, 因为未必正定的准单边Lipschitz常数矩阵包含了很多非线性部分的有用信息. 数值实例证实了本文所获结果的有效性.

Stability Analysis for Uncertain Nonlinear Time-delay Systems with Quasi-one-sided Lipschitz Condition

This paper deals with the robust stability of a class of uncertain nonlinear time-delay systems. A quasi-one-sided Lipschitz condition is introduced to estimate the influence of nonlinear vector function on the stability analysis. Delay-independent/delay-dependent stability criteria formulated in the form of linear matrix inequalities are presented. Furthermore, these stability criteria are available even if the system parameter is unstable, because the unnecessary positive quasi-one-sided Lipschitz constant matrix includes much useful information of the nonlinear part. Numerical examples show the advantage of the results obtained in this paper.