引用本文:王新梅,魏武,裴海龙,贺良华.一类具有区间时变多状态时滞系统的稳定性分析[J].控制理论与应用,2010,27(6):786~792.[点击复制]
WANG Xin-mei,WEI Wu,PEI Hai-long,HE Liang-hua.Stabilization analysis for systems with multiple interval time-varying time-delays[J].Control Theory and Technology,2010,27(6):786~792.[点击复制]
一类具有区间时变多状态时滞系统的稳定性分析
Stabilization analysis for systems with multiple interval time-varying time-delays
摘要点击 1339  全文点击 919  投稿时间：2008-11-14  修订日期：2009-04-28
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DOI编号  10.7641/j.issn.1000-8152.2010.6.CCTA081259
  2010,27(6):786-792
中文关键词  区间时变  多状态时滞系统  线性矩阵不等式
英文关键词  interval time-varying  multiple time-delays systems  LMI(linear matrix inequality)
基金项目  国家自然科学基金重点资助项目(60736024,60574004).
作者单位E-mail
王新梅* 中国地质大学 机械与电子信息学院 zixuanchenmeng@163.com 
魏武 华南理工大学 自动化科学与工程学院  
裴海龙 华南理工大学 自动化科学与工程学院  
贺良华 中国地质大学 机械与电子信息学院  
中文摘要
      研究一类具有区间时变多状态时滞且时滞导数不确定的系统的稳定性问题. 通过选择合理的Lyapunov-Krasovskii函数结合辅助变量和广义状态法, 以LMI的形式给出了时滞相关的稳定性充分条件. 文中的结论对时滞的导数没有任何限制, 可用于具有快时变时滞系统. 与已有的相关研究成果相比, 结论更具有一般性, 保守性也更低. 最后通过仿真及数值算例说明了本文方法的有效性和优越性.
英文摘要
      The stabilization of multiple interval time-varying time-delay systems is considered，in which the derivatives of the time-varying delay is unknown. By choosing appropriate Lyapunov-Krasovskii functional, the auxiliary variables and the generalized states, we derive for these systems the sufficient conditions of delay-dependent stabilization in terms of LMI (linear matrix inequality). The results are free from the restriction on the derivatives of the time-varying delays; thus, can be applied to systems with fast time-varying time-delay. Compared with existing relevant results, our results are more general and less conservative. Simulation and numerical examples validate the effectiveness and advantages of the proposed method.