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A Course on Optimal Control / by Gjerrit Meinsma, Arjan van der Schaft
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)
版 | 1st ed. 2023. |
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出版者 | (Cham : Springer Nature Switzerland : Imprint: Springer) |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | X, 276 p. 111 illus., 23 illus. in color : online resource |
著者標目 | *Meinsma, Gjerrit author van der Schaft, Arjan author SpringerLink (Online service) |
件 名 | LCSH:System theory LCSH:Control theory FREE:Systems Theory, Control |
一般注記 | 1. Calculus of Variations -- 2. Minimum Principle -- 3. Dynamic Programming -- 4. Linear Quadratic Control -- 5. Glimpses of Related Topics -- A. Background Material -- B. Differential Equations and Lyapunov Functions -- Solutions to Odd Numbered Exercises -- Bibliography -- Index This text provides a detailed and self-contained introduction to the core topics of optimal control for finite-dimensional deterministic dynamical systems. Skillfully designed to guide the student through the development of the subject, the book provides a rich collection of examples, exercises, illustrations, and applications, to support comprehension of the material. Solutions to odd-numbered exercises are included, while a complete set of solutions is available to instructors who adopt the text for their class. The book is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering. Required mathematical background includes calculus, linear algebra, a basic knowledge of differential equations, as well as a rudimentary acquaintance with control systems. The book has developed out of lecture notes that were tested, adapted, and expanded over many years of teaching. Chapters 1-4 constitute the material for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 provides brief views to a number of selected topics related to optimal control, which are meant to peak the reader’s interest. Some mathematical background is summarized in Appendix A for easy review. Appendix B recalls some of the basics of differential equations and also provides a detailed treatment of Lyapunov stability theory including LaSalle’s invariance principle, as occasionally used in Chapters 3 and 4 HTTP:URL=https://doi.org/10.1007/978-3-031-36655-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783031366550 |
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EB00238248 |
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データ種別 | 電子ブック |
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分 類 | LCC:Q295 LCC:QA402.3-402.37 DC23:3 |
書誌ID | 4001103329 |
ISBN | 9783031366550 |