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Adaptive scheme for pathological oscillations disruption in a delayed neuronal population model

Abstract

Motivated by improved ways to disrupt brain oscillations linked to Parkinson's disease, we propose an adaptive output feedback strategy for the stabilization of nonlinear time-delay systems evolving on a bounded set. To that aim, using the formalism of input-to-output stability (IOS), we first show that, for such systems, internal stability guarantees robustness to exogenous disturbances. We then use this feature to establish a general result on scalar adaptive output feedback of time-delay systems inspired by the "σ-modification" strategy. We finally apply this result to a delayed neuronal population model and assess numerically the performance of the adaptive stimulation.
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Dates and versions

hal-01956472 , version 1 (15-12-2018)

Identifiers

  • HAL Id : hal-01956472 , version 1

Cite

Jakub Orłowski, Antoine Chaillet, Mario Sigalotti, Alain Destexhe. Adaptive scheme for pathological oscillations disruption in a delayed neuronal population model. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, United States. ⟨hal-01956472⟩
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