| 書目名稱 | Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control | | 編輯 | Piermarco Cannarsa,Carlo Sinestrari | | 視頻video | http://file.papertrans.cn/865/864826/864826.mp4 | | 概述 | First 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 cen | | 叢書名稱 | Progress in Nonlinear Differential Equations and Their Applications | | 圖書封面 |  | | 描述 | .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 comprehensive 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.. | | 出版日期 | Textbook 2004 | | 關鍵詞 | cal; variation; geometric measure theory; optimal control; calculus; convex analysis; dynamic programming | | 版次 | 1 | | doi | https://doi.org/10.1007/b138356 | | isbn_softcover | 978-0-8176-4336-2 | | isbn_ebook | 978-0-8176-4413-0Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Birkh?user Boston 2004 |
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