Pontryagin-type maximum principle for a controlled sweeping process with nonsmooth and unbounded sweeping set (Q6620686)
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scientific article; zbMATH DE number 7928032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pontryagin-type maximum principle for a controlled sweeping process with nonsmooth and unbounded sweeping set |
scientific article; zbMATH DE number 7928032 |
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Pontryagin-type maximum principle for a controlled sweeping process with nonsmooth and unbounded sweeping set (English)
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17 October 2024
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The Pontryagin-type maximum principle derived in a recent article of the authors [J. Differ. Equations 318, 113--168 (2022; Zbl 1539.49016)] for optimal control problems involving sweeping processes is generalized to the case where the sweeping set \(C\) is the intersection of a finite number of sublevel sets of smooth functions, which means that it can be nonsmooth and not necessarily bounded.
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controlled sweeping process
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optimal control
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Pontryagin-type maximum principle
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intersection of sublevel sets
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nonsmooth analysis
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