LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation

Muhammad Rehan; Keum Shik Hong

doi:10.1016/j.physleta.2011.03.012

LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation

Muhammad Rehan
, Keum Shik Hong^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

This Letter addresses a nonlinear robust adaptive control that utilizes linear matrix inequalities for asymptotic synchronization of two coupled chaotic FitzHugh-Nagumo neurons under unknown parameters and uncertain stimulation current amplitudes and phase shifts. Synchronization of chaotic neurons using the proposed control method through numerical simulation is demonstrated.

Original language	English
Pages (from-to)	1666-1670
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	15
DOIs	https://doi.org/10.1016/j.physleta.2011.03.012
State	Published - 11 Apr 2011
Externally published	Yes

Keywords

Chaos synchronization
External electrical stimulation
FitzHugh-Nagumo neurons
Robust adaptive control

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2011.03.012

Cite this

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title = "LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation",

abstract = "This Letter addresses a nonlinear robust adaptive control that utilizes linear matrix inequalities for asymptotic synchronization of two coupled chaotic FitzHugh-Nagumo neurons under unknown parameters and uncertain stimulation current amplitudes and phase shifts. Synchronization of chaotic neurons using the proposed control method through numerical simulation is demonstrated.",

keywords = "Chaos synchronization, External electrical stimulation, FitzHugh-Nagumo neurons, Robust adaptive control",

author = "Muhammad Rehan and Hong, \{Keum Shik\}",

year = "2011",

month = apr,

day = "11",

doi = "10.1016/j.physleta.2011.03.012",

language = "English",

volume = "375",

pages = "1666--1670",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation

AU - Rehan, Muhammad

AU - Hong, Keum Shik

PY - 2011/4/11

Y1 - 2011/4/11

N2 - This Letter addresses a nonlinear robust adaptive control that utilizes linear matrix inequalities for asymptotic synchronization of two coupled chaotic FitzHugh-Nagumo neurons under unknown parameters and uncertain stimulation current amplitudes and phase shifts. Synchronization of chaotic neurons using the proposed control method through numerical simulation is demonstrated.

AB - This Letter addresses a nonlinear robust adaptive control that utilizes linear matrix inequalities for asymptotic synchronization of two coupled chaotic FitzHugh-Nagumo neurons under unknown parameters and uncertain stimulation current amplitudes and phase shifts. Synchronization of chaotic neurons using the proposed control method through numerical simulation is demonstrated.

KW - Chaos synchronization

KW - External electrical stimulation

KW - FitzHugh-Nagumo neurons

KW - Robust adaptive control

UR - https://www.scopus.com/pages/publications/79953025330

U2 - 10.1016/j.physleta.2011.03.012

DO - 10.1016/j.physleta.2011.03.012

M3 - Article

AN - SCOPUS:79953025330

SN - 0375-9601

VL - 375

SP - 1666

EP - 1670

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 15

ER -

LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation

Abstract

Keywords

ASJC Scopus subject areas

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