Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case

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• 作者：Tengfei Liu^a ; ^{tengfei.liu@anu.edu.au} ; ^{neuralliu@gmail.com} ; David J. Hill^b ; ^{djhill@sydney.edu.au} ; Zhong-Ping Jiang^c ; ^d ; ^{zjiang@poly.edu}
• 关键词：Dynamical networks ; Discrete-time ; Input-to-state stability (ISS) ; Small-gain ; Lyapunov functions
• 刊名：Systems and Control Letters
• 出版年：2012
• 出版时间：January 2012
• 年：2012
• 卷：61
• 期：1
• 页码：266-272
• 全文大小：357 K

文摘

This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying the cyclic-small-gain condition are constructed from the ISS-Lyapunov functions of the subsystems.