An iISS Formulation for Establishing Robust Stability of Dynamical Networks with Neutral, Retarded and Communication Delay. - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2012

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

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.
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Dates and versions

hal-00761266 , version 1 (05-12-2012)

Identifiers

  • HAL Id : hal-00761266 , version 1

Cite

Hiroshi Ito, Frédéric 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. ⟨hal-00761266⟩
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