The necessary conditions for optimal control in Hilbert spaces (Q1117449)
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scientific article; zbMATH DE number 4092209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The necessary conditions for optimal control in Hilbert spaces |
scientific article; zbMATH DE number 4092209 |
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The necessary conditions for optimal control in Hilbert spaces (English)
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1988
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This paper proves a Pontryagin type maximum principle for a large class of optimal control problems in Hilbert spaces. The argument is based on the Hamilton-Jacobi-Bellman equation in infinite dimensions and on the notion of viscosity solution.
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Pontryagin type maximum principle
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Hilbert spaces
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Hamilton-Jacobi- Bellman equation
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infinite dimensions
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viscosity solution
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