Optimality Conditions for Non-Qualified Parabolic Control Problems
We consider parabolic state constrained optimal control problems where the usual Slater condition is not necessarily satisfied. Instead, a weaker interiority property is assumed. Optimality conditions with a Lagrange multiplier are given. As an application we present an augmented Lagrangian algorithm. Numerical test results are included.
1991 Mathematics Subject Classification49K20 49M29
Key words and phrasesOptimal control optimality conditions Lagrange multipliers parabolic systems
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