An iISS Formulation for Establishing Robust Stability of Dynamical Networks with Neutral, Retarded and Communication Delay.

Hiroshi Ito 1 Frederic Mazenc 2, 3
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : In this paper, we study dynamical networks consisting of neutral subsystems and propose a method that enables us to verify their stability and robustness with respect to time delays and disturbances. Time-delays are allowed not only to reside in both subsystems and interconnection channels in either of discrete and distributed forms, but also to appear in the neutral form. Each neutral subsystem is assumed to have a sort of integral input-to-state stable property. No assumption is made on the interconnection topology. A small- gain-type sufficient condition for global asymptotic stability and robustness of the network is developed and a Lyapunov- Krasovskii functional proving the stability is constructed.
Type de document :
Communication dans un congrès
2012 American Control Conference, Jun 2012, Montreal, Canada. 2012
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https://hal.inria.fr/hal-00761266
Contributeur : Frederic Mazenc <>
Soumis le : mercredi 5 décembre 2012 - 11:08:55
Dernière modification le : jeudi 5 avril 2018 - 12:30:13

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  • HAL Id : hal-00761266, version 1

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Hiroshi Ito, Frederic Mazenc. An iISS Formulation for Establishing Robust Stability of Dynamical Networks with Neutral, Retarded and Communication Delay.. 2012 American Control Conference, Jun 2012, Montreal, Canada. 2012. 〈hal-00761266〉

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