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On the variational characterization of switching points. - MaRDI portal

On the variational characterization of switching points. (Q1852485)

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scientific article; zbMATH DE number 1849205
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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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