An optimal control problem for Sobolev retarded systems. (English) Zbl 1228.49009
Summary: An optimal control problem for an implicit delay operator differential equation with a quadratic cost functional is studied. Applications to partial differential equations of non-Kovalevskaya type with time delay are considered.
MSC:
49J27 | Existence theories for problems in abstract spaces |
49J20 | Existence theories for optimal control problems involving partial differential equations |
49N10 | Linear-quadratic optimal control problems |