Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type
Copyright policy )Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type
Summary: We consider optimal distributed and boundary control problems for semilinear parabolic equations, where pointwise constraints on the control and pointwise mixed control-state constraints of bottleneck type are given. Our main result states the existence of regular Lagrange multipliers for the state-constraints. Under natural assumptions, we are able to show the existence of bounded and measurable Lagrange multipliers. The method is based on results from the theory of continuous linear programming problems.
- Chemnitz University of Technology Germany
- University of Orléans France
optimal control, Lagrange multipliers, pointwise state constraints, Linear programming, Nonlinear parabolic equations, Existence theories for optimal control problems involving partial differential equations, semilinear parabolic equations, constraints of bottleneck, continuous linear programming
optimal control, Lagrange multipliers, pointwise state constraints, Linear programming, Nonlinear parabolic equations, Existence theories for optimal control problems involving partial differential equations, semilinear parabolic equations, constraints of bottleneck, continuous linear programming
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