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Calculus of variations and optimal control

The theory of a Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of a Pontryagin minimum to the calculus of variations is a distinctive feature of this book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken ex...

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Detalles Bibliográficos
Autores principales: Milyutin, A A, Osmolovskii, N P
Lenguaje:eng
Publicado: American Mathematical Society 1998
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2754407
Descripción
Sumario:The theory of a Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of a Pontryagin minimum to the calculus of variations is a distinctive feature of this book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken extremals, is developed, and corresponding sufficient conditions for a strong minimum are obtained. Some classical theorems of the calculus of variations are generalized.