Semiconcave functions, Hamilton-Jacobi equations, and optimal control
著者
書誌事項
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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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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