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Journal Articles IMA Journal of Mathematical Control and Information Year : 2016

Synchronization for networks of coupled non-linear systems with external disturbances

Abstract

Based on the integral sliding mode control method, some theoretical criteria for the robust synchronization of multi-coupled general non-linear systems with external disturbances are presented, the ultimate error bounds are estimated simultaneously. Furthermore, as an application, the detailed analysis and conclusions are derived for a network of multi-coupled FitzHugh–Nagumo (FHN) systems with external disturbances. Finally, some numerical examples, with two or more coupled FHN systems, are given to illustrate the effectiveness of the proposed theoretical results.
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hal-02116500 , version 1 (01-05-2019)

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Qunjiao Zhang, M.A. Aziz-Alaoui, Cyrille Bertelle. Synchronization for networks of coupled non-linear systems with external disturbances. IMA Journal of Mathematical Control and Information, 2016, 33 (2), pp.191-207. ⟨10.1093/imamci/dnu038⟩. ⟨hal-02116500⟩
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