Strong controllability of the diffusion equation in \(n\)-dimensions. (English) Zbl 0777.49002
Summary: Many optimal control problems have no solution because the desired final state cannot be reached by imposing an admissible control. Here we find a solution to this problem by an extension of the set of admissible controls.
MSC:
49J20 | Existence theories for optimal control problems involving partial differential equations |
93B03 | Attainable sets, reachability |
93B05 | Controllability |