Construction of Lyapunov Functionals for Networks of Coupled Delay Differential and Continuous-Time Difference Equations

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• 作者：Hiroshi Ito^* ; ^{hiroshi@ces.kyutech.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Fré ; dé ; ric Mazenc^** ; ^{Frederic.mazenc@lss.supelec.fr" class="auth_mail" title="E-mail the corresponding author} ; Pierdomenico Pepe^*** ; ^{pierdomenico.pepe@univaq.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Time delay ; Nonlinear systems ; Large-scale systems ; Integral input-to-state stability ; Lyapunov methods
• 刊名：IFAC-PapersOnLine
• 出版年：2014
• 出版时间：2014
• 年：2014
• 卷：47
• 期：3
• 页码：6800-6805
• 全文大小：225 K

文摘

To address various types of delays including the neutral-type arising in dynamical networks, this paper deals with coupled delay differential and continuous-time difference equations and develops stability and robustness criteria. Subsystems described by differential equations are not required to be input-to-state stable. No assumptions on network topology are made. To tackle networks in such a general formulation, this paper explicitly constructs Lyapunov-type functionals establishing stability and robustness of the overall networks. The construction requires only simple characterizations of subsystems in terms of inequalities with Lyapunov functions and instantaneous norms.