Necessary conditions for infinite-dimensional control problems
Fattorini, H.O.; Frankowska, Halina (1991), Necessary conditions for infinite-dimensional control problems, Mathematics of Control, Signals, and Systems, 4, 1, p. 41-67. http://dx.doi.org/10.1007/BF02551380
TypeArticle accepté pour publication ou publié
Journal nameMathematics of Control, Signals, and Systems
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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.
Subjects / KeywordsLagrange multiplier rule; Kuhn-Tucker conditions; Maximum principle; Optimal controls; Approximately optimal controls
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