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 
@article{JCA_2007_14_2_JCA_2007_14_2_a9,
     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/}
}
TY  - JOUR
AU  - J. F. Rosenblueth
TI  - Convex Cones and Conjugacy for Inequality Control Constraints
JO  - Journal of convex analysis
PY  - 2007
SP  - 361
EP  - 393
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a9/
ID  - JCA_2007_14_2_JCA_2007_14_2_a9
ER  - 
%0 Journal Article
%A J. F. Rosenblueth
%T Convex Cones and Conjugacy for Inequality Control Constraints
%J Journal of convex analysis
%D 2007
%P 361-393
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a9/
%F JCA_2007_14_2_JCA_2007_14_2_a9
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/