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Turnpike Phenomenon and Infinite Horizon Optimal Control / by Alexander J. Zaslavski
(Springer Optimization and Its Applications. ISSN:19316836 ; 99)
版 | 1st ed. 2014. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2014 |
本文言語 | 英語 |
大きさ | IX, 370 p : online resource |
著者標目 | *Zaslavski, Alexander J author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Operations research LCSH:Management science FREE:Calculus of Variations and Optimization FREE:Optimization FREE:Operations Research, Management Science |
一般注記 | Preface -- 1. Introduction -- 2. Turnpike Properties of Discrete-Time Problems -- 3. Variational Problems with Extended-Value Integrands -- 4. Infinite Horizon Problems -- 5. Dynamic Discrete Time Zero-Sum Games -- References -- Index This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value intergrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven. This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis, and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable HTTP:URL=https://doi.org/10.1007/978-3-319-08828-0 |
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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 | 9783319088280 |
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EB00228188 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 LCC:QA315-316 DC23:519.6 DC23:515.64 |
書誌ID | 4000119056 |
ISBN | 9783319088280 |
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※2017年9月4日以降