English

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

Optimization and Control 2025-01-29 v2

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.

Keywords

Cite

@article{arxiv.2501.14821,
  title  = {A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain},
  author = {Gregorio Diaz and Jesus Ildefonso Diaz},
  journal= {arXiv preprint arXiv:2501.14821},
  year   = {2025}
}

Comments

12 figures