Geodesic
Convex Cones and Conjugacy for Inequality Control Constraints
Journal of convex analysis, Tome 14 (2007) no. 2, pp. 361-393

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

Three approaches to conjugacy available in the literature, applicable to optimal control problems with inequality and equality constraints in the control, are studied. A clear and unified review of the second order conditions obtained in each case is given, and the three definitions of "generalized conjugate points" are improved in the sense that, either the range of applicability is enlarged, or the conditions defining membership of the different sets of points are simplified.
Classification : 49K15
Mots-clés : Calculus of variations, optimal control, conjugate points, first and second order necessary conditions, convex cones, normality 
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     author = {J. F. Rosenblueth},
     title = {Convex {Cones} and {Conjugacy} for {Inequality} {Control} {Constraints}},
     journal = {Journal of convex analysis},
     pages = {361--393},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a9/}
}
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J. F. Rosenblueth. Convex Cones and Conjugacy for Inequality Control Constraints. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 361-393. http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a9/