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Turnpike Theory of Continuous-Time Linear Optimal Control Problems / by Alexander J. Zaslavski
(Springer Optimization and Its Applications. ISSN:19316836 ; 104)
版 | 1st ed. 2015. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | IX, 296 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 LCSH:Game theory FREE:Calculus of Variations and Optimization FREE:Operations Research, Management Science FREE:Game Theory |
一般注記 | Preface -- 1. Introduction -- 2. Control systems with periodic convex integrands -- 3. Control systems with non convex integrands -- 4. Stability properties -- 5. Linear control systems with discounting -- 6. Dynamic zero-sum games with linear constraints -- 7. Genericity results -- 8. Variational problems with extended-value integrands -- 9. Dynamic games with extended-valued integrands -- References -- Index Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control, and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous nonconvex and nonsmooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands HTTP:URL=https://doi.org/10.1007/978-3-319-19141-6 |
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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 | 9783319191416 |
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EB00228202 |
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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 | 4000120584 |
ISBN | 9783319191416 |
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