Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field

Zhou Sisi; Wang Jiang; Yanqiu Che; Deng Bin

doi:10.1109/CHICC.2006.4347493

Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field

Zhou Sisi, Wang Jiang, Yanqiu Che, Deng Bin

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

1 Scopus citations

Abstract

In this paper, H_∞ variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H _∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

Original language	English (US)
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	117-121
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2006.4347493
State	Published - 2007
Event	26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: Jul 26 2007 → Jul 31 2007

Publication series

Name	Proceedings of the 26th Chinese Control Conference, CCC 2007

Other

Other	26th Chinese Control Conference, CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	7/26/07 → 7/31/07

All Science Journal Classification (ASJC) codes

Computer Science Applications
Control and Systems Engineering
Applied Mathematics
Modeling and Simulation

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10.1109/CHICC.2006.4347493

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@inproceedings{b4d2b9de23b54aa686a072e13a52e1bb,

title = "Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field",

abstract = "In this paper, H∞ variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H ∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.",

author = "Zhou Sisi and Wang Jiang and Yanqiu Che and Deng Bin",

year = "2007",

doi = "10.1109/CHICC.2006.4347493",

language = "English (US)",

isbn = "7900719229",

series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

pages = "117--121",

booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

}

Sisi, Z, Jiang, W, Che, Y & Bin, D 2007, Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. in Proceedings of the 26th Chinese Control Conference, CCC 2007., 4347493, Proceedings of the 26th Chinese Control Conference, CCC 2007, pp. 117-121, 26th Chinese Control Conference, CCC 2007, Zhangjiajie, China, 7/26/07. https://doi.org/10.1109/CHICC.2006.4347493

Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. / Sisi, Zhou; Jiang, Wang; Che, Yanqiu et al.
Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 117-121 4347493 (Proceedings of the 26th Chinese Control Conference, CCC 2007).

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

TY - GEN

T1 - Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field

AU - Sisi, Zhou

AU - Jiang, Wang

AU - Che, Yanqiu

AU - Bin, Deng

PY - 2007

Y1 - 2007

N2 - In this paper, H∞ variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H ∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

AB - In this paper, H∞ variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H ∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

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M3 - Conference contribution

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SN - 9787900719225

T3 - Proceedings of the 26th Chinese Control Conference, CCC 2007

SP - 117

EP - 121

BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

T2 - 26th Chinese Control Conference, CCC 2007

Y2 - 26 July 2007 through 31 July 2007

ER -

Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field

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