000 04037nam a22004935i 4500
001 978-1-4614-7378-7
003 DE-He213
005 20140220082829.0
007 cr nn 008mamaa
008 130611s2013 xxu| s |||| 0|eng d
020 _a9781461473787
_9978-1-4614-7378-7
024 7 _a10.1007/978-1-4614-7378-7
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
_2bicssc
072 7 _aPBU
_2bicssc
072 7 _aMAT005000
_2bisacsh
072 7 _aMAT029020
_2bisacsh
082 0 4 _a515.64
_223
100 1 _aZaslavski, Alexander J.
_eauthor.
245 1 0 _aNonconvex Optimal Control and Variational Problems
_h[electronic resource] /
_cby Alexander J. Zaslavski.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXI, 378 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v82
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aOptimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461473770
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v82
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-7378-7
912 _aZDB-2-SMA
999 _c95911
_d95911