A graph-theoretic approach to global input-to-state stability for coupled control systems
作者: Yu QiaoYue HuangMinghao Chen
作者单位: 1Shandong University, Weihai
2Harbin Institute of Technology (Weihai)
3Harbin Institute of Technology
刊名: Advances in Difference Equations, 2017, Vol.2017 (1)
来源数据库: Springer Journal
DOI: 10.1186/s13662-017-1129-y
关键词: Input-to-state stabilityCoupled control systemLyapunov function
英文摘要: 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.
原始语种摘要: 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.
全文获取路径: Springer  (合作)
分享到:
来源刊物:
影响因子:0.76 (2012)

×
关键词翻译
关键词翻译
  • control 控制
  • global 球状的
  • system 
  • coupled 耦合
  • state 状态
  • stability 稳定性
  • approach 
  • function 函数
  • constructing 合组
  • graph 图表