A Small-Gain Methodology for Networks of iISS Retarded Systems based on Lyapunov-Krasovskii Functionals

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• 作者：Hiroshi Ito^* ; ^{hiroshi@ces.kyutech.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Zhong-Ping Jiang^** ; ^{zjiang@poly.edu" class="auth_mail" title="E-mail the corresponding author} ; Pierdomenico Pepe^*** ; ^{pepe@ing.univaq.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Time delay ; Large-scale systems ; Nonlinear systems ; Lyapunov-Krasovskii functionals ; Integral input-to-state stability (iISS)
• 刊名：IFAC-PapersOnLine
• 出版年：2011
• 出版时间：January 2011
• 年：2011
• 卷：44
• 期：1
• 页码：5100-5105
• 全文大小：335 K

文摘

A problem of assessing stability of retarded dynamical networks is solved in this paper. Subsystems are assumed to be integral input-to-state stable (iISS). Time-delays are allowed to reside in both subsystems and interconnection channels, and may be both discrete and distributed. No assumption is made on the interconnection topology. This paper develops a small-gain methodology for constructing a Lyapunov-Krasovskii functional of such a network.