Lou, Xuyang and Swamy, M. N. S. (2017) A new approach to optimal control of conductance-based spiking neurons. Neural Networks . ISSN 08936080 (In Press)
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Official URL: http://dx.doi.org/10.1016/j.neunet.2017.08.011
Abstract
This paper presents an algorithm for solving the minimum-energy optimal control problem of conductance-based spiking neurons. The basic procedure is (1) to construct a conductance-based spiking neuron oscillator as an affine nonlinear system, (2) to formulate the optimal control problem of the affine nonlinear system as a boundary value problem based on the Pontryagin’s maximum principle, and (3) to solve the boundary value problem using the homotopy perturbation method. The construction of the minimum-energy optimal control in the framework of the homotopy perturbation technique is novel and valid for a broad class of nonlinear conductance-based neuron models. The applicability of our method in the FitzHugh-Nagumo and Hindmarsh-Rose models is validated by simulations.
Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering |
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Item Type: | Article |
Refereed: | No |
Authors: | Lou, Xuyang and Swamy, M. N. S. |
Journal or Publication: | Neural Networks |
Date: | 11 September 2017 |
Funders: |
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Digital Object Identifier (DOI): | 10.1016/j.neunet.2017.08.011 |
Keywords: | Spiking neurons; Optimal control; Homotopy perturbation method |
ID Code: | 983026 |
Deposited By: | Danielle Dennie |
Deposited On: | 13 Sep 2017 20:03 |
Last Modified: | 01 Sep 2018 00:01 |
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