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Field name	Details
Dewey Class	515.64
Title	Nonconvex Optimal Control and Variational Problems ([Ebook]) / by Alexander J. Zaslavski.
Author	Zaslavski, Alexander J.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XI, 378 pages : online resource.
Series	Springer Optimization and Its Applications 1931-6828 ; ; 82
ISBN	9781461473787
Summary Note	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 âgoodâ 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.:
Contents note	Preface -- 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-7378-7
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Mathematical optimization . Mathematics . Optimization . Authors: Zaslavski, Alexander J. . Corporate Authors: SpringerLink (Online service) . Series: Springer Optimization and Its Applications . Classification: 515.64 . 515.64 (DDC 23) .

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Nonconvex Optimal Control and Variational Problems

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