A graph-theoretic approach to global input-to-state stability for coupled control systems
 作者： Yu Qiao,  Yue Huang,  Minghao Chen 作者单位： 1Shandong University, Weihai2Harbin 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 stability;  Coupled control system;  Lyapunov 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.

• 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