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一类时滞系统的稳定性分析及控制器设计 被引量：2

Stability analysis and controller design for a system with time delays
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摘要 研究一类具有状态时滞和输入时滞的时变时滞线性系统.首先,通过选取合适的Lyapunov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskill稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时变时滞线性系统方面的一些结果.最后用实例验证所得到结果. This paper studies the linear system with time-varying state delays and time-varying input delays. First, it is analyzed stability of the system with time delays, by choosing a proper Lyapunov-Krasovskii func- tional, applying Linear matrix inequality （LMI）, and using Lyapunov-Krasovskii stabilization theorem. And then, it is designed corresponding controller. It is improved that some result of linear system with time-varying delays. Finally, this result is checked by the numerical simulation.
作者 邱金学 游成涛 章春国
机构地区 杭州电子科技大学数学系
出处 《纯粹数学与应用数学》 CSCD 2012年第3期391-400,共10页 Pure and Applied Mathematics
基金 国家自然科学基金(10771048)
关键词 时滞系统 LYAPUNOV-KRASOVSKII泛函 鲁棒稳定性 线性矩阵不等式(LMI) 反馈控制 time-delay systems lyapunov-Krasovskii functional, robust stability,linear matrix inequality （LMI）~ feedback control
分类号 O231.4 [理学—运筹学与控制论]
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参考文献8

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同被引文献22

  • 1朱培勇,李建.具有时滞的二阶连续型Hopfield神经网络的周期解[J].西南民族大学学报（自然科学版）,2004,30(6):702-706. 被引量：3
  • 2邱占芝,张庆灵.一类多输入多输出网络控制系统的稳定性分析[J].控制与决策,2005,20(5):525-528. 被引量：17
  • 3赵碧蓉,江明辉,沈轶.随机时滞神经网络的全局指数稳定性[J].控制理论与应用,2005,22(5):799-801. 被引量：9
  • 4邱占芝,张庆灵,刘明.不确定时延输出反馈网络化系统保性能控制[J].控制理论与应用,2007,24(2):274-278. 被引量：21
  • 5Zhang W, Branicky MS,Phillips SM. Stability of networked control systems.IEEE Control Systems Magazine [J],2001,21 (1):84-99.
  • 6王志文,郭戈,洪毅,潘玮.基于模型网络化输入多采样率系统的状态反馈控制[J].仪器仪表学报,2008,29(4):405-409.
  • 7ZHANGWA,YUL.Modeling and Control of Networked Control Systems with both Networked-induced Delay and Packet-dropout [J].Automatica, 2008, 44:3206-3210.
  • 8SHAO HAN YONG. On stabilization for systems with two additive time -varying input delays arising from networked control systems [ J ]. J Frankl Inst,2012,349 (6) :2033 - 2046.
  • 9WON IL LEE. Second - order reciprocally convex approach to stability of systems with interval time - varying delays [ J ]. Applied Mathematics and computation ,2014,229:245 - 253.
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纯粹数学与应用数学
2012年 第3期

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