Control of continuous dynamical systems modeling physiological states

Mounira Kesmia, Soraya Boughaba and Sabir Jacquir

Chaos, Solitons & Fractals, 2020, vol. 136, issue C

Abstract: The aim of this work is a generalization to continuous dynamical systems of the results obtained for nonlinear discrete dynamical systems, i.e. the suppression of stable periodic dynamics, especially those corresponding to certain undesirable physiological states in the brain as well as in the heart. In most cases, complex pathologies are modeled by nonlinear dynamical systems with chaotic behavior and some pathological states correspond to periodic behaviors. We propose a new strategy using predictive control to suppress periodic and higher-order orbits when the dynamics evolves in continuous time. The feasibility and efficiency of our approach is illustrated using two models, the Rössler and FitzHugh-Nagumo models.

Keywords: Predictive control; Chaotic dynamical system; Periodic dynamics; Fixed point; Basin of attraction (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:136:y:2020:i:c:s096007792030206x

DOI: 10.1016/j.chaos.2020.109805

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