Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control

Haitao Yu, Jiang Wang, Yanqiu Che, Xile Wei, Qiuxiang Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a robust adaptive controller is proposed to realize the synchronization of two gap junction coupled chaotic map-based neurons under external electrical stimulation. Considering the uncertain states in practical neural systems, we propose a robust control scheme comprising an adaptive controller and an uncertainty estimator. Chaos synchronization is obtained by proper choice of the control parameters. Gaussian Random Noise is introduced to evaluate the stability of the adaptive control induced synchronized state. The simulation results demonstrate the effectiveness and robustness of the developed control method.

Original languageEnglish (US)
Title of host publication2010 Chinese Control and Decision Conference, CCDC 2010
Pages4395-4399
Number of pages5
DOIs
StatePublished - Aug 13 2010
Event2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China
Duration: May 26 2010May 28 2010

Publication series

Name2010 Chinese Control and Decision Conference, CCDC 2010

Other

Other2010 Chinese Control and Decision Conference, CCDC 2010
CountryChina
CityXuzhou
Period5/26/105/28/10

Fingerprint

Chaos theory
Neurons
Synchronization
Controllers
Robust control
Neuron
Controller
Adaptive control
Chaos synchronization
Robustness
Estimator
Simulation
Uncertainty

All Science Journal Classification (ASJC) codes

  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Yu, H., Wang, J., Che, Y., Wei, X., & Liu, Q. (2010). Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control. In 2010 Chinese Control and Decision Conference, CCDC 2010 (pp. 4395-4399). [5498333] (2010 Chinese Control and Decision Conference, CCDC 2010). https://doi.org/10.1109/CCDC.2010.5498333
Yu, Haitao ; Wang, Jiang ; Che, Yanqiu ; Wei, Xile ; Liu, Qiuxiang. / Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control. 2010 Chinese Control and Decision Conference, CCDC 2010. 2010. pp. 4395-4399 (2010 Chinese Control and Decision Conference, CCDC 2010).
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abstract = "In this paper, a robust adaptive controller is proposed to realize the synchronization of two gap junction coupled chaotic map-based neurons under external electrical stimulation. Considering the uncertain states in practical neural systems, we propose a robust control scheme comprising an adaptive controller and an uncertainty estimator. Chaos synchronization is obtained by proper choice of the control parameters. Gaussian Random Noise is introduced to evaluate the stability of the adaptive control induced synchronized state. The simulation results demonstrate the effectiveness and robustness of the developed control method.",
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Yu, H, Wang, J, Che, Y, Wei, X & Liu, Q 2010, Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control. in 2010 Chinese Control and Decision Conference, CCDC 2010., 5498333, 2010 Chinese Control and Decision Conference, CCDC 2010, pp. 4395-4399, 2010 Chinese Control and Decision Conference, CCDC 2010, Xuzhou, China, 5/26/10. https://doi.org/10.1109/CCDC.2010.5498333

Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control. / Yu, Haitao; Wang, Jiang; Che, Yanqiu; Wei, Xile; Liu, Qiuxiang.

2010 Chinese Control and Decision Conference, CCDC 2010. 2010. p. 4395-4399 5498333 (2010 Chinese Control and Decision Conference, CCDC 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - In this paper, a robust adaptive controller is proposed to realize the synchronization of two gap junction coupled chaotic map-based neurons under external electrical stimulation. Considering the uncertain states in practical neural systems, we propose a robust control scheme comprising an adaptive controller and an uncertainty estimator. Chaos synchronization is obtained by proper choice of the control parameters. Gaussian Random Noise is introduced to evaluate the stability of the adaptive control induced synchronized state. The simulation results demonstrate the effectiveness and robustness of the developed control method.

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Yu H, Wang J, Che Y, Wei X, Liu Q. Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control. In 2010 Chinese Control and Decision Conference, CCDC 2010. 2010. p. 4395-4399. 5498333. (2010 Chinese Control and Decision Conference, CCDC 2010). https://doi.org/10.1109/CCDC.2010.5498333