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Mathematical Control Theory : An Introduction / by Jerzy Zabczyk
(Modern Birkhäuser Classics. ISSN:21971811)
版 | 1st ed. 2008. |
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出版者 | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
出版年 | 2008 |
本文言語 | 英語 |
大きさ | X, 260 p : online resource |
著者標目 | *Zabczyk, Jerzy author SpringerLink (Online service) |
件 名 | LCSH:System theory LCSH:Control theory LCSH:Mathematics LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Control engineering LCSH:Robotics LCSH:Automation FREE:Systems Theory, Control FREE:Applications of Mathematics FREE:Calculus of Variations and Optimization FREE:Control, Robotics, Automation |
一般注記 | Elements of classical control theory -- Controllability and observability -- Stability and stabilizability -- Realization theory -- Systems with constraints -- Nonlinear control systems -- Controllability and observability of nonlinear systems -- Stability and stabilizability -- Realization theory -- Optimal control -- Dynamic programming -- Dynamic programming for impulse control -- The maximum principle -- The existence of optimal strategies -- Infinite dimensional linear systems -- Linear control systems -- Controllability -- Stability and stabilizability -- Linear regulators in Hilbert spaces Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. The book will be ideal for a beginning graduate course in mathematical control theory, or for self study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory. "This book is designed as a graduate text on the mathematical theory of deterministic control. It covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory." — Bulletin of the AMS "The book is very well written from a mathematical point of view of control theory. The author deserves much credit for bringing out such a book which is a useful and welcome addition to books on the mathematics of control theory." — Control Theory and Advance Technology "At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone." — Gian-Carlo Rota, The Bulletin of Mathematics Books HTTP:URL=https://doi.org/10.1007/978-0-8176-4733-9 |
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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 | 9780817647339 |
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EB00237641 |
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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 | 4000117336 |
ISBN | 9780817647339 |
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