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Adaptive control of synchronization for the heterogeneous Hindmarsh-Rose network. / Semenov, Danila M.; Fradkov, Alexander L.

In: IFAC-PapersOnLine, Vol. 53, No. 5, 2020, p. 146-151.

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Semenov, Danila M. ; Fradkov, Alexander L. / Adaptive control of synchronization for the heterogeneous Hindmarsh-Rose network. In: IFAC-PapersOnLine. 2020 ; Vol. 53, No. 5. pp. 146-151.

BibTeX

@article{567a05da83c9426e9ffba23497c56cfa,
title = "Adaptive control of synchronization for the heterogeneous Hindmarsh-Rose network",
abstract = "The paper is devoted to the adaptive control problem of synchronization in the network of Hindmarsh-Rose neurons. The case of identical neurons was predominantly considered in the previous studies, which are concerned with the synchronization of the biological neuron models. However, the natural networks of biological neurons are heterogeneous, since living neurons can have different shapes and characteristics. In order to take into account the effect of the natural network heterogeneity, the neuronal models are considered with different parameters in our paper. It was shown that the adaptive synchronization of the heterogeneous Hindmarsh-Rose network is possible, and it is achieved by using the developed controller. The obtained results were mathematically proved and confirmed by the simulations.",
keywords = "adaptive control, control of networks, neural dynamics, neuroscience, speed gradient method, synchronization",
author = "Semenov, {Danila M.} and Fradkov, {Alexander L.}",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.. All rights reserved.; 3rd IFAC Workshop on Cyber-Physical and Human Systems, CPHS 2020 ; Conference date: 03-12-2020 Through 05-12-2020",
year = "2020",
doi = "10.1016/j.ifacol.2021.04.093",
language = "English",
volume = "53",
pages = "146--151",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Adaptive control of synchronization for the heterogeneous Hindmarsh-Rose network

AU - Semenov, Danila M.

AU - Fradkov, Alexander L.

N1 - Publisher Copyright: © 2020 Elsevier B.V.. All rights reserved.

PY - 2020

Y1 - 2020

N2 - The paper is devoted to the adaptive control problem of synchronization in the network of Hindmarsh-Rose neurons. The case of identical neurons was predominantly considered in the previous studies, which are concerned with the synchronization of the biological neuron models. However, the natural networks of biological neurons are heterogeneous, since living neurons can have different shapes and characteristics. In order to take into account the effect of the natural network heterogeneity, the neuronal models are considered with different parameters in our paper. It was shown that the adaptive synchronization of the heterogeneous Hindmarsh-Rose network is possible, and it is achieved by using the developed controller. The obtained results were mathematically proved and confirmed by the simulations.

AB - The paper is devoted to the adaptive control problem of synchronization in the network of Hindmarsh-Rose neurons. The case of identical neurons was predominantly considered in the previous studies, which are concerned with the synchronization of the biological neuron models. However, the natural networks of biological neurons are heterogeneous, since living neurons can have different shapes and characteristics. In order to take into account the effect of the natural network heterogeneity, the neuronal models are considered with different parameters in our paper. It was shown that the adaptive synchronization of the heterogeneous Hindmarsh-Rose network is possible, and it is achieved by using the developed controller. The obtained results were mathematically proved and confirmed by the simulations.

KW - adaptive control

KW - control of networks

KW - neural dynamics

KW - neuroscience

KW - speed gradient method

KW - synchronization

UR - http://www.scopus.com/inward/record.url?scp=85107868996&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2021.04.093

DO - 10.1016/j.ifacol.2021.04.093

M3 - Conference article

AN - SCOPUS:85107868996

VL - 53

SP - 146

EP - 151

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 5

T2 - 3rd IFAC Workshop on Cyber-Physical and Human Systems, CPHS 2020

Y2 - 3 December 2020 through 5 December 2020

ER -

ID: 87328699