A priori estimates for operational differential inclusions and necessary conditions for optimality
Frankowska, Halina (1990), A priori estimates for operational differential inclusions and necessary conditions for optimality, dans Bensoussan, Alain; Lions, Jacques-Louis, Analysis and Optimization of Systes Proceedings of the 9th International Conference Antibes, June 12–15, 1990, Springer : Berlin, p. 519-528. http://dx.doi.org/10.1007/BFb0120074
Type
Communication / ConférenceDate
1990Titre du colloque
9th International Conference on Analysis and Optimization of SystesDate du colloque
1990-06Ville du colloque
AntibesPays du colloque
FranceTitre de l'ouvrage
Analysis and Optimization of Systes Proceedings of the 9th International Conference Antibes, June 12–15, 1990Auteurs de l’ouvrage
Bensoussan, Alain; Lions, Jacques-LouisÉditeur
Springer
Titre de la collection
Lecture Notes in Control and Information SciencesNuméro dans la collection
144Ville d’édition
Berlin
Isbn
978-3-540-52630-8
Nombre de pages
994Pages
519-528
Identifiant publication
Métadonnées
Afficher la notice complèteAuteur(s)
Frankowska, HalinaRésumé (EN)
Derivation of necessary conditions for optimality in optimal control theory relies on variational calculus of control systems. We provide here such calculus for the semilinear differential inclusion 1 x′∈Ax+F(t,x),x(0)=x0 (1) where A is the infinitesimal generator of a C o-semigroup on a separable Banach space X and F: [0,T]×X∼ X is a set-valued map. Such inclusion encompass a number of control systems, including those with state dependent controls. We prove a relaxation theorem and investigate infinitesimal generators of reachable sets and variational inclusions. Results are applied to derive necessary conditions for optimality for some semilinear optimal control problems.Mots-clés
control problems; optimality; differential inclusionsPublications associées
Affichage des éléments liés par titre et auteur.
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Frankowska, Halina (1990) Article accepté pour publication ou publié
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Frankowska, Halina (1985) Article accepté pour publication ou publié