Comptes Rendus
no. 6
Optimal Control
Optimality results in orbit transfer
[Résultats d'optimalité en transfert orbital]

Présenté par : Alain Bensoussan

Bernard Bonnard1 ; Jean-Baptiste Caillau2
1 Institut de mathématiques de Bourgogne (UMR CNRS 5584), 9, avenue Savary, 21078 Dijon, France
2 ENSEEIHT-IRIT (UMR CNRS 5505), 2, rue Camichel, 31071 Toulouse, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 6, pp. 319-324.

Cette Note présente des résultats d'optimalité en transfert orbital. La moyennation du problème de la minimisation de l'énergie est considérée, et les propriétés de la métrique riemannienne associée sont présentées.

The objective of this Note is to present optimality results in orbital transfer. Averaging of the energy minimization problem is considered, and properties of the associated Riemannian metric are discussed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.07.028

Bernard Bonnard 1 ; Jean-Baptiste Caillau 2

1 Institut de mathématiques de Bourgogne (UMR CNRS 5584), 9, avenue Savary, 21078 Dijon, France
2 ENSEEIHT-IRIT (UMR CNRS 5505), 2, rue Camichel, 31071 Toulouse, France 
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Bernard Bonnard; Jean-Baptiste Caillau. Optimality results in orbit transfer. Comptes Rendus. Mathématique, Volume 345 (2007) no. 6, pp. 319-324. doi : 10.1016/j.crma.2007.07.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.07.028/

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  • Thomas Waters; Matthew Cherrie The conjugate locus in convex 3-manifolds, New Zealand Journal of Mathematics, Volume 54 (2023), pp. 17-30 | DOI:10.53733/139 | Zbl:1547.53048
  • Thomas Waters Bifurcations of the conjugate locus, Journal of Geometry and Physics, Volume 119 (2017), pp. 1-8 | DOI:10.1016/j.geomphys.2017.04.003 | Zbl:1367.53039
  • Bernard Bonnard; Jean-Baptiste Caillau; Ludovic Rifford Convexity of injectivity domains on the ellipsoid of revolution: the oblate case, Comptes Rendus. Mathématique. Académie des Sciences, Paris, Volume 348 (2010) no. 23-24, pp. 1315-1318 | DOI:10.1016/j.crma.2010.10.036 | Zbl:1225.53006
  • Bernard Bonnard; Jean-Baptiste Caillau; Robert Sinclair; Minoru Tanaka Conjugate and cut loci of a two-sphere of revolution with application to optimal control, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, Volume 26 (2009) no. 4, pp. 1081-1098 | DOI:10.1016/j.anihpc.2008.03.010 | Zbl:1184.53036
  • B. Bonnard; G. Janin Geometric orbital transfer using averaging techniques, Journal of Dynamical and Control Systems, Volume 14 (2008) no. 2, pp. 145-167 | DOI:10.1007/s10883-008-9040-1 | Zbl:1203.70032

Cité par 5 documents. Sources : zbMATH

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