On the variational characterization of switching points. (Q1852485)
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scientific article; zbMATH DE number 1849205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the variational characterization of switching points. |
scientific article; zbMATH DE number 1849205 |
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On the variational characterization of switching points. (English)
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2002
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The paper deals with a measurable extremal control satisfying the Pontryagin maximum principle in the point-to-point time-optimal problem for a class of smooth nonlinear in phase variables and control systems. A notion of a switching function is derived which has under some conditions the property: all switching points of a measurable extremal control are contained in the set of its zeros.
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time-optimal problem
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extremal control
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switching points
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