Nonconvex optimal control and variational problems / Alexander J. Zaslavski
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York, NY : Springer |
| 出版年 | [2013] |
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| 書誌ID | OB01026701 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references (pages 371-375) and index 1. Introduction -- 2. Well-posedness of optimal control problems -- 3. Well-posedness and porosity -- 4. Well-posedness of nonconvex variational problems -- 5. Generic well-posedness result -- 6. Nonoccurence of the Lavrentiev phenomenon for variational problems -- 7. Nonoccurrence of the Lavrentiev phenomenon in optimal control -- 8. Generic nonoccurrence of the Lavrentiev phenomenon -- 9. Infinite-dimensional linear control problems -- 10. Uniform boundedness of approximate solutions of variational problems -- 11. The turnpike property for approximate solutions -- 12. A turnpike result for optimal control systems. License restrictions may limit access Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of general topology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with "good" functions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author.This volume is intended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization, and applied functional analysis, as well as both undergraduate and graduate students specializing in those areas. The text devoted to Turnpike properties may be of particular interest to the economics community -- P. 4 of cover |
| 著者標目 | *Zaslavski, Alexander J |
| 統一書名標目 | Springer optimization and its applications ; |
| 件 名 | LCSH:Mathematical optimization LCSH:Variational inequalities (Mathematics) FREE:Mathematical optimization FREE:Variational inequalities (Mathematics) |
| 分 類 | LCC:QA402.5 DC23:519.6 |
| 巻冊次 | alk. paper ; ISBN:9781461473770 RefWorks出力（各巻） alk. paper ; ISBN:1461473772 RefWorks出力（各巻） ebk. ; XISBN:9781461473787 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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