A Lyapunov-Krasovskii methodology for a class of large-scale neutral systems in an iISS framework

Hiroshi Ito 1 Frédéric Mazenc 2, 3
3 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 : This chapter presents a framework for verifying stability and robustness of dynamical networks consisting of neutral subsystems subject to disturbances in the spirit of integral input-to-state stability. In addition to neutral-type delays in subsystems, time-delays are allowed to reside in both subsystems and interconnection channels. A small-gain condition is proposed for constructing a Lyapunov-Krasovskii functional to establish stability and robustness of the network. No assumption is made on the network topology .
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https://hal.inria.fr/hal-01198432
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Submitted on : Saturday, September 12, 2015 - 4:32:07 PM
Last modification on : Thursday, April 5, 2018 - 12:30:13 PM

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Hiroshi Ito, Frédéric Mazenc. A Lyapunov-Krasovskii methodology for a class of large-scale neutral systems in an iISS framework. Recent Results on Nonlinear Time Delayed Systems, Springer, pp.205-223, 2015, Advances in Delays and Dynamics, ⟨10.1007/978-3-319-18072-4_10 ⟩. ⟨hal-01198432⟩

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