On Synchronization in FitzHugh-Nagumo Networks with Small Delays

Sergei A. Plotnikov, Alexander L. Fradkov

Research output

Abstract

article studies the influence of the small delays on the FitzHugh-Nagumo network synchronization. It is widely known that high delays in signal propagation between the nodes make synchronization difficult or even impossible. The sufficient conditions of the linearized network synchronization for the case of the small delay are obtained. This problem is successfully reduced to the feasibility of the LMIs. The simulation results confirm the efficiency of the obtained conditions. We suppose that the similar conditions can be applicable even to the nonlinear FitzHugh-Nagumo network.

Original languageEnglish
Title of host publication2018 European Control Conference, ECC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2052-2056
Number of pages5
ISBN (Electronic)9783952426982
DOIs
Publication statusPublished - 27 Nov 2018
Externally publishedYes
Event16th European Control Conference, ECC 2018 - Limassol
Duration: 12 Jun 201815 Jun 2018

Conference

Conference16th European Control Conference, ECC 2018
CountryCyprus
CityLimassol
Period12/06/1815/06/18

Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization

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    Plotnikov, S. A., & Fradkov, A. L. (2018). On Synchronization in FitzHugh-Nagumo Networks with Small Delays. In 2018 European Control Conference, ECC 2018 (pp. 2052-2056). [8550552] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2018.8550552