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<図書>
Geometric optimal control : theory, methods and examples

責任表示 Heinz Schättler, Urszula Ledzewicz
シリーズ Interdisciplinary applied mathematics ; 38
データ種別 図書
出版情報 New York : Springer , c2012
本文言語 英語
大きさ xix, 640 p. : ill. ; 25 cm
概要 This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the ...eometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, including the mathematical sciences and engineering. Book jacket.続きを見る
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所蔵情報


hbk. 理系図3F 数理独自 SCHA/122/1 2012
033212012003141

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Schättler, Heinz M.
Ledzewicz, Urszula
件 名 LCSH:Control theory
LCSH:Mathematical optimization
LCSH:Geometry, Differential
分 類 DC23:515.642
書誌ID 1001484021
ISBN 9781461438335
NCID BB09916078
巻冊次 hbk. ; ISBN:9781461438335
NBN 016068493
登録日 2012.08.22
更新日 2017.02.18

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