Further improvement of free-weighting matrices technique for systems with time-varying delay
Further improvement of free-weighting matrices technique for systems with time-varying delay
复制标题
时变时滞系统自由权矩阵技术的进一步改进
DOI：
10.1109/tac.2006.887907
复制
发表时间：
2007-02-01
影响因子：
6.8
通讯作者：
Lin, Chong
中科院分区：
文献类型：
--
作者：
He, Yong;Wang, Qing-Guo;Lin, Chong
本文提出了一种新的时变时滞系统稳定性分析方法。引入适当的李雅普诺夫泛函和增广的利瓦普诺夫泛函，建立了一些改进的时滞相关稳定性判据。在估计Lyapunov泛函导数的上界和引入新的自由加权矩阵时，通过考虑附加的有用项(在以前的方法中被忽略)，可以得到不那么保守的结果。将所得准则推广到具有时变结构不确定性和多面体不确定性的不确定系统的稳定性分析。数值算例表明了该方法的有效性和优越性。
A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lvapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.