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  • 标题:A graph-theoretic approach to global input-to-state stability for coupled control systems
  • 本地全文:下载
  • 作者:Yu Qiao ; Yue Huang ; Minghao Chen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:129
  • DOI:10.1186/s13662-017-1129-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method. Consequently, some novel global input-to-state stability principles are given. As an application to this result, a coupled Lurie system is also discussed. By constructing an appropriate Lyapunov function, a sufficient condition ensuring input-to-state stability of this coupled Lurie system is established. Two examples are provided to demonstrate the effectiveness of the theoretical results.
  • 关键词:input-to-state stability ; coupled control system ; Lyapunov function
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