Semiconcave functions, Hamilton-Jacobi equations, and optimal control

書誌事項

Semiconcave functions, Hamilton-Jacobi equations, and optimal control

Piermarco Cannarsa, Carlo Sinestrari

(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 58)

Birkhäuser, c2004

  • : pbk

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

* A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems

目次

A Model Problem.- Semiconcave Functions.- Generalized Gradients and Semiconcavity.- Singularities of Semiconcave Functions.- Hamilton-Jacobi Equations.- Calculus of Variations.- Optimal Control Problems.- Control Problems with Exit Time.

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