This short communication proposes a strategy to induce complete synchronization in a complex network composed of a general class of nonlinear dynamical oscillators. To that end, we formulate complete synchronization as a robust stabilisation problem, and propose a multiple-input multiple-output feedback decoupling linearisation algorithm in combination with H-infinity-control, designed to achieve a stable synchronization even in the presence of model uncertainty. We illustrate the strategy via a case study, where a complex network composed of FitzHugh-Nagumo oscillators is considered. (C) 2021 Elsevier Ltd. All rights reserved.

Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H_∞-control / Faedo, Nicolas; García-Violini, Demián; Ringwood, John V.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 144:(2021). [10.1016/j.chaos.2021.110722]

Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H_∞-control

Faedo, Nicolas;
2021

Abstract

This short communication proposes a strategy to induce complete synchronization in a complex network composed of a general class of nonlinear dynamical oscillators. To that end, we formulate complete synchronization as a robust stabilisation problem, and propose a multiple-input multiple-output feedback decoupling linearisation algorithm in combination with H-infinity-control, designed to achieve a stable synchronization even in the presence of model uncertainty. We illustrate the strategy via a case study, where a complex network composed of FitzHugh-Nagumo oscillators is considered. (C) 2021 Elsevier Ltd. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2988058