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一类不确定中立型系统的鲁棒稳定性分析
引用本文:焦建民.一类不确定中立型系统的鲁棒稳定性分析[J].山东大学学报(理学版),2011,46(1):28-34.
作者姓名:焦建民
作者单位:宝鸡文理学院数学系,陕西,宝鸡,721013
基金项目:宝鸡文理学院重点科研计划项目
摘    要:基于Lyapunov稳定性理论,利用新构造的增广-离散化Lyapunov泛函并结合自由权矩阵方法,提出了用线性矩阵不等式(linear matrix inequality,LMI)表示的时滞相关鲁棒稳定性准则。数值实例表明了结果的有效性和较小保守性。

关 键 词:中立型系统  不确定性  鲁棒稳定  线性矩阵不等式

Robust stability analysis of a class of uncertain neutral systems
JIAO Jian-min.Robust stability analysis of a class of uncertain neutral systems[J].Journal of Shandong University,2011,46(1):28-34.
Authors:JIAO Jian-min
Institution:JIAO Jian-min(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China)
Abstract:Based on the Lyapunov stability theory,by using a new constructed augmented-discretized Lyapunov functional and free-weighting matrix approach,a new delay-dependent criterion for robust stability was derived in terms of linear matrix inequality(LMI).Numerical examples demonstrated that the proposed criterion was effective and less conservative.
Keywords:neutral system  uncertainty  robust stability  linear matrix inequality(LMI)  
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