Nonlocal parabolic boundary problem with limited internal and final control. (Ukrainian. English summary) Zbl 1324.35086
Summary: We establish necessary and sufficient conditions of an optimal control choice for systems which are described by a nonlocal parabolic boundary problem with limited internal and final control. The integral criterion of the quality is given as the sum of the volume and surface integrals.
MSC:
| 35K60 | Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations |
| 93C20 | Control/observation systems governed by partial differential equations |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
