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

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  • Faedo, Nicolás
  • García-Violini, Demián
  • Ringwood, John V.

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∞-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.

Suggested Citation

  • Faedo, Nicolás & García-Violini, Demián & Ringwood, John V., 2021. "Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H∞-control," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000758
    DOI: 10.1016/j.chaos.2021.110722
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    References listed on IDEAS

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    1. Che, Yan-Qiu & Wang, Jiang & Zhou, Si-Si & Deng, Bin, 2009. "Robust synchronization control of coupled chaotic neurons under external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1333-1342.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    1. Xing, Miaomiao & Song, Xinlin & Wang, Hengtong & Yang, Zhuoqin & Chen, Yong, 2022. "Frequency synchronization and excitabilities of two coupled heterogeneous Morris-Lecar neurons," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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