J L Lions
Articles written in Proceedings – Mathematical Sciences
Volume 104 Issue 1 February 1994 pp 295-304 Obituary note
Distributed control is applied to a system modelled by a parabolic evolution equation. One considers situations where there are two cost (objective) functions. One possible way is to cut the control into 2 parts, one being thought of as “the leader” and the other one as “the follower”. This situation is studied in the paper, with one of the cost functions being of the controllability type. Existence and uniqueness is proven. The optimality system is given in the paper.
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