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Cartan form via an exterior differential system approach - MaRDI portal

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Cartan form via an exterior differential system approach (Q2761889)

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scientific article; zbMATH DE number 1686469
Language Label Description Also known as
English
Cartan form via an exterior differential system approach
scientific article; zbMATH DE number 1686469

    Statements

    7 January 2002
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    Cartan form
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    exterior differential system
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    variational problem
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    Cartan form via an exterior differential system approach (English)
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    The authors investigate the generalized Cartan form for general variational problems in the setting of exterior differential systems as described by Griffiths (1982). The generalized Cartan form for the classical variational problems with constraints is computed. They consider the generalized Cartan form for a linear-quadratic control problem as an example. This is related to the Hamiltonian equations derived from the maximum principle.
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