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On Synchronization in FitzHugh-Nagumo Networks with Small Delays. / Plotnikov, Sergei A.; Fradkov, Alexander L.

2018 European Control Conference, ECC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2052-2056 8550552.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Plotnikov, SA & Fradkov, AL 2018, On Synchronization in FitzHugh-Nagumo Networks with Small Delays. in 2018 European Control Conference, ECC 2018., 8550552, Institute of Electrical and Electronics Engineers Inc., pp. 2052-2056, 16th European Control Conference, ECC 2018, Limassol, Cyprus, 12/06/18. https://doi.org/10.23919/ECC.2018.8550552

APA

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

Vancouver

Plotnikov SA, Fradkov AL. On Synchronization in FitzHugh-Nagumo Networks with Small Delays. In 2018 European Control Conference, ECC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2052-2056. 8550552 https://doi.org/10.23919/ECC.2018.8550552

Author

Plotnikov, Sergei A. ; Fradkov, Alexander L. / On Synchronization in FitzHugh-Nagumo Networks with Small Delays. 2018 European Control Conference, ECC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 2052-2056

BibTeX

@inproceedings{155aa2e31ecf41e39d07bcdb1fe16fcb,
title = "On Synchronization in FitzHugh-Nagumo Networks with Small Delays",
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.",
keywords = "STABILITY",
author = "Plotnikov, {Sergei A.} and Fradkov, {Alexander L.}",
year = "2018",
month = nov,
day = "27",
doi = "10.23919/ECC.2018.8550552",
language = "English",
pages = "2052--2056",
booktitle = "2018 European Control Conference, ECC 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "16th European Control Conference, ECC 2018 ; Conference date: 12-06-2018 Through 15-06-2018",

}

RIS

TY - GEN

T1 - On Synchronization in FitzHugh-Nagumo Networks with Small Delays

AU - Plotnikov, Sergei A.

AU - Fradkov, Alexander L.

PY - 2018/11/27

Y1 - 2018/11/27

N2 - 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.

AB - 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.

KW - STABILITY

UR - http://www.scopus.com/inward/record.url?scp=85059800628&partnerID=8YFLogxK

U2 - 10.23919/ECC.2018.8550552

DO - 10.23919/ECC.2018.8550552

M3 - Conference contribution

AN - SCOPUS:85059800628

SP - 2052

EP - 2056

BT - 2018 European Control Conference, ECC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th European Control Conference, ECC 2018

Y2 - 12 June 2018 through 15 June 2018

ER -

ID: 37786332