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Journal of Convex Analysis 14 (2007), No. 4, 767--784
Copyright Heldermann Verlag 2007

Affinity and Well-Posedness for Optimal Control Problems in Hilbert Spaces

Elena Muselli
Dip. di Matematica, UniversitÓ di Genova, Via Dodecaneso 35, 16146 Genova, Italy

Quadratic optimal control problems in Hilbert spaces are considered. We show that well-posedness of problems without constraints for all desired trajectories is equivalent to affinity on the control of the dynamics in the abstract Cauchy problem.

Keywords: Well-posed optimization problems, control problems in Hilbert spaces, infinite dimensional linear systems.

MSC: 49K40, 49N10, 47B49

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