Lou, Xuyang and Swamy, M. N. S. (2017) A new approach to optimal control of conductancebased 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 minimumenergy optimal control problem of conductancebased spiking neurons. The basic procedure is (1) to construct a conductancebased 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 minimumenergy optimal control in the framework of the homotopy perturbation technique is novel and valid for a broad class of nonlinear conductancebased neuron models. The applicability of our method in the FitzHughNagumo and HindmarshRose models is validated by simulations.
Divisions:  Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering 

Item Type:  Article 
Refereed:  No 
Authors:  Lou, Xuyang and Swamy, M. N. S. 
Journal or Publication:  Neural Networks 
Date:  11 September 2017 
Funders: 

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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