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  • 标题:Finite-time stability of linear non-autonomous systems with time-varying delays
  • 本地全文:下载
  • 作者:Xueyan Yang ; Xiaodi Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:101
  • DOI:10.1186/s13662-018-1557-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we investigate the problem of finite-time stability (FTS) of linear non-autonomous systems with time-varying delays. By constructing an appropriated function, we derive some explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. Finally, two examples are given to show the effectiveness of the main results.
  • 关键词:Finite-time stability ; Linear non-autonomous systems ; Time-varying delay ; Metzler matrix
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