Abstract

We consider a formulation of optimal control problems in infinite dimensional spaces as nonlinear programming problems for functions defined in complete metric spaces which has been developed in detail by the author and H. Frankowska in [10]. This formulation makes possible to unify in a natural way control theory with nonlinear programming theory; in particular we obtain Pontryagin's maximum principle in the form of a Kuhn-Tucker condition. In the same fashion we obtain convergence and robustness results for approximate minima.

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