Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Elena Muselli

Dip. di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy

muselli@dima.unige.it

Keywords

  • Well-posed optimization problems
  • control problems in Hilbert spaces
  • infinite dimensional linear systems

Mathematics Subject Classification

49K40, 49N10, 47B49

Suggested citation

E. Muselli. “Affinity and Well-Posedness for Optimal Control Problems in Hilbert Spaces.” Journal of Convex Analysis 14 (2007), No. 4, 767–784.

Copyright Banach Press 2007