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

Jakub Orłowski 1, 2 Antoine Chaillet 1 Mario Sigalotti 2, 3 Alain Destexhe 4
1 L2S - Laboratoire des signaux et systèmes
2 CaGE - Control And GEometry
Inria de Paris, LJLL - Laboratoire Jacques-Louis Lions
3 LJLL - Laboratoire Jacques-Louis Lions
4 UNIC - Unité de Neurosciences Information et Complexité [Gif sur Yvette]
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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Communication dans un congrès
57th IEEE Conference on Decision and Control, Dec 2018, Miami Beach, United States. Proceedings of the 57th IEEE Conference on Decision and Control
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01956472
Contributeur : Jakub Orłowski <>
Soumis le : samedi 15 décembre 2018 - 19:30:01
Dernière modification le : samedi 16 mars 2019 - 01:53:11
Document(s) archivé(s) le : samedi 16 mars 2019 - 13:38:11

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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, Dec 2018, Miami Beach, United States. Proceedings of the 57th IEEE Conference on Decision and Control. 〈hal-01956472〉

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