Semiconcave functions, Hamilton-Jacobi equations, and optimal control
Author(s)
Bibliographic Information
Semiconcave functions, Hamilton-Jacobi equations, and optimal control
(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 58)
Birkhäuser, c2004
- : pbk
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
CAN||19||1200024900071
Note
Includes bibliographical references and index
Description and Table of Contents
Description
* 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
Table of Contents
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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