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Necessary conditions for infinite-dimensional control problems

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Date
1991
Dewey
Probabilités et mathématiques appliquées
Sujet
Lagrange multiplier rule; Kuhn-Tucker conditions; Maximum principle; Optimal controls; Approximately optimal controls
Journal issue
Mathematics of Control, Signals, and Systems
Volume
4
Number
1
Publication date
1991
Article pages
41-67
Publisher
Springer
DOI
http://dx.doi.org/10.1007/BF02551380
URI
https://basepub.dauphine.fr/handle/123456789/14417
Collections
  • CEREMADE : Publications
Metadata
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Author
Fattorini, H.O.
Frankowska, Halina
Type
Article accepté pour publication ou publié
Abstract (EN)
We consider infinite-dimensional nonlinear programming problems which consist of minimizing a functionf 0(u) under a target set constraint. We obtain necessary conditions for minima that reduce to the Kuhn-Tucker conditions in the finite-dimensional case. Among other applications of these necessary conditions and related results, we derive Pontryagin’s maximum principle for a class of control systems described by semilinear equations in Hilbert space and study convergence properties of sequences of near-optimal controls for these systems.

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