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Communication Dans Un Congrès Année : 2018

About prior saturation points for affine control systems (Journées MODE 2018, Autrans)

Résumé

We consider minimal time control problems governed by an affine system w.r.t. the control. Our aim is to study properties of the optimalsynthesis in presence of a singular locus that involves a saturation point for the singular control. We show that the optimal synthesis exhibits a prior saturation point at the intersection of the singular arc and a switching curve,and we also discuss qualitative properties of this curve. We high light this phenomenon on several models arising in nuclear magnetic resonance andin bioprocesses.
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Dates et versions

hal-03044236 , version 1 (07-12-2020)

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  • HAL Id : hal-03044236 , version 1

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Terence Bayen, Olivier Cots. About prior saturation points for affine control systems (Journées MODE 2018, Autrans). Journées du groupe thématique MODE de la Société de Mathématiques Appliquées et Industrielles (SMAI) (Journées SMAI MODE 2018), Société de Mathématiques Appliquées et Industrielles (SMAI); European Network for Game Theory (COST Action CA16228), Mar 2018, Autrans, France. ⟨hal-03044236⟩
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