Mendeley出力
＜図書＞
Semiconcave functions, Hamilton-Jacobi equations, and optimal control
| 責任表示 | Piermarco Cannarsa, Carlo Sinestrari |
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| シリーズ | Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 58 |
| データ種別 | 図書 |
| 出版情報 | Boston : Birkhäuser , c2004 |
| 本文言語 | 英語 |
| 大きさ | xii, 304 p. ; 24 cm |
| 概要 | Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehen...ive exposition of the theory of semiconcave functions, and of the role they play in optimal control and Hamilton-Jacobi equations. The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is devoted to applications concerning the Bolza problem in the calculus of variations and optimal exit time problems for nonlinear control systems. The exposition is essentially self-contained since the book includes all prerequisites from convex analysis, nonsmooth analysis, and viscosity solutions. * 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 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7000943 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | CANN/4/K1 | 2004 |
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023212004002440 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
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| 著者標目 | *Cannarsa, Piermarco, 1957- Sinestrari, Carlo, 1970- |
| 件 名 | LCSH:Concave functions LCSH:Hamilton-Jacobi equations LCSH:Control theory LCSH:Mathematical optimization |
| 分 類 | LCC:QA353.C64 DC22:515/.355 |
| 書誌ID | 1001403255 |
| ISBN | 0817640843 |
| NCID | BA67371443 |
| 巻冊次 | ISBN:0817640843 : pbk ; ISBN:0817643362 ; XISBN:9780817643362 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.02.18 |