| HAL : hal-00599216, version 4 |
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| SIAM Journal on Control and Optimization 50, 6 (2012) 3178-3202 |
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| Versions disponibles : | v1 (09-06-2011) | v2 (05-08-2011) | v3 (28-09-2011) | v4 (10-04-2012) |
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| Minimum time control of the restricted three-body problem |
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| Jean-Baptiste Caillau 1Bilel Daoud 1 |
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| (11/2012) |
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| The minimum time control of the circular restricted three-body problem is considered. Controllability is proved on an adequate submanifold. Singularities of the extremal flow are studied by means of a stratification of the switching surface. Properties of homotopy maps in optimal control are framed in a simple case. The analysis is used to perform continuations on the two parameters of the problem: The ratio of the masses, and the magnitude of the control. |
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| 1 : | Institut de Mathématiques de Bourgogne (IMB) |
| CNRS : UMR5584 – Université de Bourgogne | |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00599216, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00599216 | |
| oai:hal.archives-ouvertes.fr:hal-00599216 | |
| Contributeur : Jean-Baptiste Caillau | |
| Soumis le : Mardi 10 Avril 2012, 11:47:40 | |
| Dernière modification le : Mardi 19 Mars 2013, 01:24:09 | |