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Flow problems and duality. (English) Zbl 0575.49009

Mathematical control theory, Banach Cent. Publ. 14, 255-262 (1985).
[For the entire collection see Zbl 0568.00025.]
The author introduces special optimal control problems which he calls flow problems of the first kind and of the second kind. Weak duality assertions for these problems are derived. The author shows further that Rockafellar’s stability theory can be made use of to obtain strong duality criteria.
Reviewer: K.Zimmermann

MSC:

49N15 Duality theory (optimization)
49J45 Methods involving semicontinuity and convergence; relaxation
93B05 Controllability

Citations:

Zbl 0568.00025