Stability criterion of linear delayed impulsive differential systems with impulse time windows

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• 作者：Huamin Wang ; Shukai Duan ; Chuandong Li…
• 关键词：Impulsive differential systems ; impulse time windows ; uniform stability
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：14
• 期：1
• 页码：174-180
• 全文大小：720 KB
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• 作者单位：Huamin Wang (1) (2)
  Shukai Duan (1)
  Chuandong Li (1)
  Lidan Wang (1)
  Tingwen Huang (3)
  
  1. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China
  2. Department of Mathematics, Luoyang Normal University, Luoyang, Henan, 471022, PR China
  3. Department of Electrical and Computer Engineering Texas A&M University at Qatar., PO Box 23874, Doha, Qatar
  
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

In this paper, we study the uniform stability of linear delayed differential equationswith impulse time windows. By means of Lyapunov functions and Razumikhin technique combined with classification discussion technique, the criterion of uniform stability is obtained, which may be used to discuss others stability of delayed differential equations with impulse time win-dows. Two examples are given to illustrate the effectiveness of the theoretic result. Keywords Impulsive differential systems impulse time windows uniform stability