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  • 标题:LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
  • 本地全文:下载
  • 作者:Manlika Rajchakit ; Piyapong Niamsup ; Grienggrai Rajchakit
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:332
  • DOI:10.1186/1687-1847-2013-332
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability are established in terms of LMIs. Numerical examples are given to show the effectiveness of the obtained results.
  • 关键词:decentralized exponential stability ; large-scale systems ; uncertain systems ; interval time-varying delay ; Lyapunov function ; linear matrix inequalities
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