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A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain

Name: A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain
Keywords: Optimization and Control (math.OC), FOS: Mathematics, 34A34, 34C60, 34H05, 49J30, 49K15, Mathematics - Optimization and Control

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Embargo end date: 01 Jan 2025Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems - S, volume 0, pages 0-0 (issn: 1937-1632, eissn: 1937-1179,

Authors: Diaz, Gregorio; Diaz, Jesus Ildefonso;

doi: 10.3934/dcdss.2025008 , 10.48550/arxiv.2501.14821

arXiv: http://arxiv.org/abs/2501.14821

A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain

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Abstract

We consider a nonlinear system of coupled ordinary differential equations (representing the excitatory, inhibitory, and T-cell potentials) based on the Gate Control Theory of Pain, initially proposed by R. Melzack and P.D. Wall in 1965, and later mathematically modeled by N.F. Britton and S.M. Skevington in 1988.

12 figures

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Complutense University of Madrid
Spain

Keywords

Optimization and Control (math.OC), FOS: Mathematics, 34A34, 34C60, 34H05, 49J30, 49K15, Mathematics - Optimization and Control

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