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  • 标题:A new result on stability analysis for discrete system with interval time-varying delays
  • 本地全文:下载
  • 作者:Daixi Liao ; Shouming Zhong ; Jun Cheng
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-019-2006-7
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with the stability criteria for a discrete-time linear system with interval time-varying delays. By using the time delay division we construct an augmented Lyapunov–Krasovskii functional for two delay subintervals. Moreover, we use a new summation inequality to estimate the derivatives of LKFs more accurately and derive less conservative criteria. Finally, we present two numerical examples to demonstrate that the obtained results are less conservative.
  • 关键词:Discrete system ; Stability ; Lyapunov–Krasovskii functional ; Interval time-varying delay
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