Optimal feedback for perturbed bilinear control problems
Necessary optimality conditions for an optimal control problem in infinite dimension are derived. The cost function is Lipschitzian and the state equation is a perturbation with a maximal monotone operator of a bilinear equation. The idea of the proof consists in approximating the optimal control problem by a family of smooth problems for which the necessary optimality conditions are immediate and to pass to the limit. At the end, the existence of a feedback law is proved.
optimal control problem in infinite dimension
scientific article; zbMATH DE number 4024125
scientific article