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A new approach to optimal control of conductance-based spiking neurons

Title:

A new approach to optimal control of conductance-based spiking neurons

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
Item Type:Article
Refereed:No
Authors:Lou, Xuyang and Swamy, M. N. S.
Journal or Publication:Neural Networks
Date:11 September 2017
Funders:
  • National Natural Science Foundation of China (61473136)
  • Fundamental Research Funds for the Central Universities (JUSRP51322B)
  • 111 Project ( B12018)
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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