Necessary conditions for optimal control problems with bounded state by a penalty method (Q1074853)
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scientific article; zbMATH DE number 3949125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary conditions for optimal control problems with bounded state by a penalty method |
scientific article; zbMATH DE number 3949125 |
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Necessary conditions for optimal control problems with bounded state by a penalty method (English)
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1987
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Necessary conditions are derived for a general relaxed control problem with unilateral state constraint. The results are also valid for ordinary controls that are solutions of the relaxed problem. A penalty is imposed to change the constrained problem into a sequence of unconstrained problems. The assumptions are on the data of the problem and do not require a priori verification of hypotheses involving the optimal solution.
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necessary conditions
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relaxed control
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unilateral state constraint
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penalty
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