Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation

Muhammad Rehan; Keum Shik Hong

Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation

Muhammad Rehan^*
, Keum Shik Hong

^*Corresponding author for this work

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

Abstract

This paper describes a nonlinear robust adaptive control for synchronization of uncoupled FitzHugh-Nagumo (FHN) neurons with uncertainty in the amplitude of stimulation current and under disturbances. First, we propose an adaptive nonlinear control for asymptotic synchronization of neurons under the uncertain amplitude of stimulation current. Then, we modify the adaptive control law to deal with bounded disturbances. Proposed robust adaptive control law ensures uniformly ultimately bounded synchronization error under uncertain stimulation and disturbances. The results of the proposed methodologies are verified through numerical simulations.

Original language	English
Title of host publication	ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Pages	875-879
Number of pages	5
State	Published - 2011
Externally published	Yes
Event	8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan, Province of China Duration: 15 May 2011 → 18 May 2011

Publication series

Name	ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Conference

Conference	8th Asian Control Conference, ASCC 2011
Country/Territory	Taiwan, Province of China
City	Kaohsiung
Period	15/05/11 → 18/05/11

Keywords

FitzHugh-Nagumo (FHN) neurons
adaptive control
chaos synchronization
external electrical stimulation (EES)
robust adaptive control

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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title = "Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation",

abstract = "This paper describes a nonlinear robust adaptive control for synchronization of uncoupled FitzHugh-Nagumo (FHN) neurons with uncertainty in the amplitude of stimulation current and under disturbances. First, we propose an adaptive nonlinear control for asymptotic synchronization of neurons under the uncertain amplitude of stimulation current. Then, we modify the adaptive control law to deal with bounded disturbances. Proposed robust adaptive control law ensures uniformly ultimately bounded synchronization error under uncertain stimulation and disturbances. The results of the proposed methodologies are verified through numerical simulations.",

keywords = "FitzHugh-Nagumo (FHN) neurons, adaptive control, chaos synchronization, external electrical stimulation (EES), robust adaptive control",

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

year = "2011",

language = "English",

isbn = "9788995605646",

series = "ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings",

pages = "875--879",

booktitle = "ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings",

note = "8th Asian Control Conference, ASCC 2011 ; Conference date: 15-05-2011 Through 18-05-2011",

}

Rehan, M & Hong, KS 2011, Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation. in ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings., 5899187, ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings, pp. 875-879, 8th Asian Control Conference, ASCC 2011, Kaohsiung, Taiwan, Province of China, 15/05/11.

Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation. / Rehan, Muhammad; Hong, Keum Shik.
ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings. 2011. p. 875-879 5899187 (ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings).

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

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T1 - Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation

AU - Rehan, Muhammad

AU - Hong, Keum Shik

PY - 2011

Y1 - 2011

N2 - This paper describes a nonlinear robust adaptive control for synchronization of uncoupled FitzHugh-Nagumo (FHN) neurons with uncertainty in the amplitude of stimulation current and under disturbances. First, we propose an adaptive nonlinear control for asymptotic synchronization of neurons under the uncertain amplitude of stimulation current. Then, we modify the adaptive control law to deal with bounded disturbances. Proposed robust adaptive control law ensures uniformly ultimately bounded synchronization error under uncertain stimulation and disturbances. The results of the proposed methodologies are verified through numerical simulations.

AB - This paper describes a nonlinear robust adaptive control for synchronization of uncoupled FitzHugh-Nagumo (FHN) neurons with uncertainty in the amplitude of stimulation current and under disturbances. First, we propose an adaptive nonlinear control for asymptotic synchronization of neurons under the uncertain amplitude of stimulation current. Then, we modify the adaptive control law to deal with bounded disturbances. Proposed robust adaptive control law ensures uniformly ultimately bounded synchronization error under uncertain stimulation and disturbances. The results of the proposed methodologies are verified through numerical simulations.

KW - FitzHugh-Nagumo (FHN) neurons

KW - adaptive control

KW - chaos synchronization

KW - external electrical stimulation (EES)

KW - robust adaptive control

UR - https://www.scopus.com/pages/publications/80051955963

M3 - Conference contribution

AN - SCOPUS:80051955963

SN - 9788995605646

T3 - ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

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BT - ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

T2 - 8th Asian Control Conference, ASCC 2011

Y2 - 15 May 2011 through 18 May 2011

ER -

Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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