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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
muselli@dima.unige.it



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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