Optimal control of linear bottleneck problems
Optimal control of linear bottleneck problems
The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of control theory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-state inequality constraints. We show how to obtain Lagrange multipliers in L spaces for linear problems and give an application to linear parabolic optimal control problems.
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