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024 7 $a10.1007/978-1-4614-7378-7
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100   $a20130422d2013      uy         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aNonconvex optimal control and variational problems /$fAlexander J. Zaslavski
205   $a1st ed. 2013.
210   $aNew York $cSpringer$d2013
215   $a1 online resource (xi, 378 pages)
225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v82
300   $a"ISSN: 1931-6828."
311   $a1-4899-9622-2 
311   $a1-4614-7377-2 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 1. Introduction -- 2. Well-posedness of Optimal Control Problems -- 3. Well-posedness and Porosity -- 4. Well-posedness of Nonconvex Variational Problems -- 5. Gerenic Well-posedness result -- 6. Nonoccurrence 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. - References -- Index.
330   $aNonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of general topology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with ?good? functions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author. This volume is intended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization, and applied functional analysis, as well as both undergraduate and graduate students specializing in those areas. The text devoted to Turnpike properties may be of particular interest to the economics community. Also by Alexander J. Zaslavski: Optimization on Metric and Normed Spaces, © 2010; Structure of Solutions of Variational Problems, © 2013; Turnpike Properties in the Calculus of Variations and Optimal Control, © 2006.
410  0$aSpringer optimization and its applications ;$vvolume 82.
606   $aCalculus of variations
606   $aVariational inequalities (Mathematics)
615  0$aCalculus of variations.
615  0$aVariational inequalities (Mathematics)
676   $a515.642
700   $aZaslavski$b Alexander J$0721713
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438135803321
996   $aNonconvex Optimal Control and Variational Problems$92515932
997   $aUNINA