Geodesic
Affinity and Well-Posedness for Optimal Control Problems in Hilbert Spaces
Journal of convex analysis, Tome 14 (2007) no. 4, pp. 767-784.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 49K40, 49N10, 47B49
Mots-clés : Well-posed optimization problems, control problems in Hilbert spaces, infinite dimensional linear systems 
@article{JCA_2007_14_4_JCA_2007_14_4_a4,
     author = {E. Muselli},
     title = {Affinity and {Well-Posedness} for {Optimal} {Control} {Problems} in {Hilbert} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {767--784},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a4/}
}
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E. Muselli. Affinity and Well-Posedness for Optimal Control Problems in Hilbert Spaces. Journal of convex analysis, Tome 14 (2007) no. 4, pp. 767-784. http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a4/