引用本文:何　勇, 吴　敏.多时变时滞系统的鲁棒稳定及有界实引理的时滞相关条件[J].控制理论与应用,2004,21(5):735~741.[点击复制]
HE Yong,WU Min.Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays[J].Control Theory and Technology,2004,21(5):735~741.[点击复制]
多时变时滞系统的鲁棒稳定及有界实引理的时滞相关条件
Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays
摘要点击 1335  全文点击 2087  投稿时间：2003-04-09  
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DOI编号  
  2004,21(5):735-741
中文关键词  多时变时滞  鲁棒稳定性  有界实引理  线性矩阵不等式  时滞相关条件
英文关键词  multiple time-varying delays  robust stability  bounded real lemma  linear matrix inequality  delay-dependent conditions
基金项目  博士点基金项目(2000053303).
作者单位
何　勇, 吴　敏 中南大学 信息科学与工程学院,湖南 长沙 410083
中南大学 数学科学与计算技术学院,湖南 长沙 410083 
中文摘要
      对于多时变时滞系统,引入表示牛顿-莱布尼兹公式中各项的相互关系的自由权矩阵,获得了基于线性矩阵不等式(LMI)描述的系统鲁棒稳定的时滞相关条件,并说明了时滞相关条件和时滞无关条件的相互关系.在此基础上,将其推广到有界实引理的时滞相关条件.所得结果克服了已有结果的保守性.最后给出实例说明本文方法的有效性.
英文摘要
      Based on linear matrix inequality(LMI),some delay-dependent conditions were derived for the robust stability of the systems with multiple time-varying delays.Some free weighting matrices were employed to describe the reciprocal relationships between the terms in Newton-Leibniz formula.Then the relationship between the delay-dependent conditions and delay-independent ones were discussed.And,the results were extended to the delay-dependent bounded real lemma for systems.The proposed results overcome the conservativeness of the existing results.Finally,some examples were provided to demonstrate the (effectiveness) of the proposed method.