Some problems in optimal control governed by the sweeping process (Q2925039)
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scientific article; zbMATH DE number 6359063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some problems in optimal control governed by the sweeping process |
scientific article; zbMATH DE number 6359063 |
Statements
20 October 2014
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Bolza problem
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sweeping process
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dynamic programming
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relaxation
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narrow convergence
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stable convergence
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viscosity solution
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subdifferential
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Some problems in optimal control governed by the sweeping process (English)
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The authors study a Bolza and relaxation problem for the perturbation of a sweeping process. A new setting of the problem is proposed. It is proved that the value function related to the sweeping process satisfies the dynamic programming principle. The last section of the paper is devoted to further extensions and applications. The results can be applied to investigate the viscosity property of the value function associated with the perturbation of the sweeping process.
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