Existence of an optimal control with sparse jumps in the state variable (Q791130)
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scientific article; zbMATH DE number 3849934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of an optimal control with sparse jumps in the state variable |
scientific article; zbMATH DE number 3849934 |
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Existence of an optimal control with sparse jumps in the state variable (English)
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1985
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The existence of an optimal control is proved in a problem where the criterion functional and the equation of motion contain a control that is a Lebesgue-Stieltjes measure. Due to nonlinearities in the problem, it is necessary to postulate a condition implying that large atoms of the control measures are sparse and that their derivatives, whenever they exist, have a uniform bound.
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control differential systems involving impulses
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jumps in the state variables
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