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Control of continuous dynamical systems modeling physiological states

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  • Kesmia, Mounira
  • Boughaba, Soraya
  • Jacquir, Sabir

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.

Suggested Citation

  • Kesmia, Mounira & Boughaba, Soraya & Jacquir, Sabir, 2020. "Control of continuous dynamical systems modeling physiological states," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:chsofr:v:136:y:2020:i:c:s096007792030206x
    DOI: 10.1016/j.chaos.2020.109805
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    References listed on IDEAS

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    1. Bocheng Bao & Aihuang Hu & Han Bao & Quan Xu & Mo Chen & Huagan Wu, 2018. "Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors," Complexity, Hindawi, vol. 2018, pages 1-11, February.
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