Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

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• 作者：Tengfei  ; Liu^a ;   ; ^{tengfei.liu@anu.edu.au} ; David J.  ; Hill^b ;   ; ^{djhill@sydney.edu.au} ; Zhong-Ping  ; Jiang^c ;   ; ^{zjiang@control.poly.edu}[Author vitae]
• 关键词：Dynamical networks ; Input-to-state stability (ISS) ; Small-gain ; Lyapunov functions
• 刊名：Automatica
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：47
• 期：9
• 页码：2088-2093
• 全文大小：377 K

文摘

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.