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Communication Dans Un Congrès Année : 2003

Classification of local optimal syntheses for time minimal control problems with state constraints

Résumé

This paper describes the analysis under generic assumptions of the small \textit{time minimal syntheses} for single input affine control systems in dimension $3$, submitted to \textit{state constraints}. We use geometric methods to evaluate \textit{the small time reachable set} and necessary optimality conditions. Our work is motivated by the \textit{optimal control of the atmospheric arc for the re-entry of a space shuttle}, where the vehicle is subject to constraints on the thermal flux and on the normal acceleration.
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Dates et versions

hal-00086439 , version 1 (18-07-2006)

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  • HAL Id : hal-00086439 , version 1

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Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Classification of local optimal syntheses for time minimal control problems with state constraints. 2003, pp.117--122. ⟨hal-00086439⟩
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