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Book Sections Year : 2015

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

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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hal-01198432 , version 1 (12-09-2015)

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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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