| 书目名称 | Geometric Optimal Control |
| 副标题 | Theory, Methods and |
| 编辑 | Heinz Schättler,Urszula Ledzewicz |
| 视频video | |
| 概述 | Comprehensive presentation of an up-to-date geometric approach to optimal control, both necessary and sufficient conditions, which has not been done in a book form before.Rigorous presentation, writte |
| 丛书名称 | Interdisciplinary Applied Mathematics |
| 图书封面 |  |
| 描述 | 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 geometric 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 mo |
| 出版日期 | Textbook 2012 |
| 关键词 | Lie bracket computations; Pontryagin Maximum Principle; calculus of variations; geometric optimal contr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-3834-2 |
| isbn_softcover | 978-1-4899-8680-1 |
| isbn_ebook | 978-1-4614-3834-2Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
| issn_series | 0939-6047 |
| copyright | Springer Science+Business Media, LLC 2012 |
发表于 2025-3-21 17:31:50
