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

Hiroshi Ito 1 Frédéric Mazenc 2, 3
1 Kyushu Institute of Technology
2 L2S - Laboratoire des signaux et systèmes
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
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
Contributor : Frederic Mazenc <>
Submitted on : Saturday, September 12, 2015 - 4:32:07 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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CNRS | INRIA | SUP_LSS | CENTRALESUPELEC | SUP_SYSTEMES | L2S | UNIV-PARIS-SACLAY

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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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