Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control

Ying Yuan Chen, Jiang Wang, Yanqiu Che, Xi Le Wei, Bin Deng

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

3 Citations (Scopus)

Abstract

This paper presents an adaptive neural network H control for unidirectional synchronization of modified Morris-Lecar (ML) neurons in a master-slave configuration. The modified ML neurons exhibit different periods bursting and repetitive spiking in response to electrical stimulation. Based on the Lyapunov stability theory, we derive the update laws of neural network for approximating the nonlinear uncertain functions of the error dynamical system. The H design technique makes the controller robust to unmodeled dynamics, disturbances and approximate errors. The proposed controller not only ensures closedloop stability, but also guarantees an H performance for the synchronization error system. The states of the controlled slave system exponentially synchronize with that of the master one after control. The simulation results demonstrate the robustness and effectiveness of the proposed control method.

Original languageEnglish (US)
Title of host publicationProceedings of the 29th Chinese Control Conference, CCC'10
Pages749-754
Number of pages6
StatePublished - Dec 22 2010
Event29th Chinese Control Conference, CCC'10 - Beijing, China
Duration: Jul 29 2010Jul 31 2010

Other

Other29th Chinese Control Conference, CCC'10
CountryChina
CityBeijing
Period7/29/107/31/10

Fingerprint

Neurons
Synchronization
Neural networks
Controllers
Dynamical systems

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Chen, Y. Y., Wang, J., Che, Y., Wei, X. L., & Deng, B. (2010). Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control. In Proceedings of the 29th Chinese Control Conference, CCC'10 (pp. 749-754). [5573331]
Chen, Ying Yuan ; Wang, Jiang ; Che, Yanqiu ; Wei, Xi Le ; Deng, Bin. / Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control. Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. pp. 749-754
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Chen, YY, Wang, J, Che, Y, Wei, XL & Deng, B 2010, Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control. in Proceedings of the 29th Chinese Control Conference, CCC'10., 5573331, pp. 749-754, 29th Chinese Control Conference, CCC'10, Beijing, China, 7/29/10.

Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control. / Chen, Ying Yuan; Wang, Jiang; Che, Yanqiu; Wei, Xi Le; Deng, Bin.

Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 749-754 5573331.

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

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AB - This paper presents an adaptive neural network H∞ control for unidirectional synchronization of modified Morris-Lecar (ML) neurons in a master-slave configuration. The modified ML neurons exhibit different periods bursting and repetitive spiking in response to electrical stimulation. Based on the Lyapunov stability theory, we derive the update laws of neural network for approximating the nonlinear uncertain functions of the error dynamical system. The H∞ design technique makes the controller robust to unmodeled dynamics, disturbances and approximate errors. The proposed controller not only ensures closedloop stability, but also guarantees an H ∞ performance for the synchronization error system. The states of the controlled slave system exponentially synchronize with that of the master one after control. The simulation results demonstrate the robustness and effectiveness of the proposed control method.

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Chen YY, Wang J, Che Y, Wei XL, Deng B. Unidirectional synchronization of Morris-Lecar neurons via adaptive H ∞ control. In Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 749-754. 5573331