一类区间时变时滞非线性广义系统的稳定性准则  

Stability criteria for a class of nonlinear singular systems with interval time-varying delays

作　　者：焦建民[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《浙江大学学报（理学版）》2013年第4期411-415,共5页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(No.11071193);陕西省教育厅科研计划项目(No.2013JK0601);宝鸡文理学院重点科研项目(No.ZK11044)

摘　　要：研究了一类区间时变时滞非线性广义系统的稳定性问题.基于Lyapunov稳定性理论,应用线性矩阵不等式和自由权矩阵方法,给出了使得系统正则、无脉冲且一致渐近稳定的时滞相关型稳定性新准则.结果表明,所给准则可有效判定区间时变时滞非线性广义系统的稳定性,它比已有的一些结果具有更小的保守性,并且通过数值实例进行了验证.The stability problem is investigated for a class of nonlinear singular systems with interval time-varying delays. Based on Lyapunov stability theory, using linear matrix inequality and free-weighting matrix approach, a new delay-dependent stability criterion for the nonlinear singular systems to be regular, impulse free and uniformly asymptotically stable is proposed. The result shows that it can be used to effectively judge the stability of nonlinear singular systems with interval time-varying delay, meanwhile, it has less conservatism than some existing ones, which is demonstrated by numerical examples.

关 键 词：非线性广义系统 区间时变时滞 稳定性 线性矩阵不等式 

分 类 号：O131[理学—数学] TP273[理学—基础数学]