Geodesic
Second-Order Analysis of Optimal Control Problems with Control and Initial-Final State Constraints
Journal of convex analysis, Tome 17 (2010) no. 3, pp. 885-913.

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper provides an analysis of Pontryagin minima satisfying a quadratic growth condition, for optimal control problems of ordinary differential equations with constraints on initial-final state, as well as control constraints satisfying the uniform positive linear independence condition. 
@article{JCA_2010_17_3_JCA_2010_17_3_a10,
     author = {J. F. Bonnans and N. P. Osmolovskii},
     title = {Second-Order {Analysis} of {Optimal} {Control} {Problems} with {Control} and {Initial-Final} {State} {Constraints}},
     journal = {Journal of convex analysis},
     pages = {885--913},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a10/}
}
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J. F. Bonnans; N. P. Osmolovskii. Second-Order Analysis of Optimal Control Problems with Control and Initial-Final State Constraints. Journal of convex analysis, Tome 17 (2010) no. 3, pp. 885-913. http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a10/