Quadratic Pareto optimal control for boundary infinite order parabolic equation with state-control constraints. (English) Zbl 1151.49306
A boundary Pareto optimal control problem for the parabolic operator with infinite order is considered. The performance index has an integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin theorem given by Walczak, was applied.
MSC:
49K20 | Optimality conditions for problems involving partial differential equations |
35K20 | Initial-boundary value problems for second-order parabolic equations |
90C29 | Multi-objective and goal programming |