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On control problems of minimum time for Lagrangian systems similar to a swing. I: Convexity criteria for sets - MaRDI portal

On control problems of minimum time for Lagrangian systems similar to a swing. I: Convexity criteria for sets (Q1344567)

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scientific article; zbMATH DE number 722301
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English
On control problems of minimum time for Lagrangian systems similar to a swing. I: Convexity criteria for sets
scientific article; zbMATH DE number 722301

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    On control problems of minimum time for Lagrangian systems similar to a swing. I: Convexity criteria for sets (English)
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    13 June 1995
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    Summary: We establish some convexity criteria for sets in \(\mathbb{R}^ 2\). They will be applied in a further note [see the following entry] to treat the existence of solutions to minimum time problems for certain Lagrangian systems referred to two coordinates, one of which is used as a control. These problems regard the swing or the ski.
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    existence of solutions
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    ski
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