rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Nonconvex Optimal Control and Variational Problems
  name:
    name part: Zaslavski, Alexander J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 378 p. online resource.
  abstract: 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. 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.
  table of contents: 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.
  note: by Alexander J. Zaslavski.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Optimization
  classification: QA315-316
  classification: QA402.3
  classification: QA402.5-QA402.6
  classification: 515.64
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Optimization and Its Applications, 82
  identifier: 9781461473787
  identifier: http://dx.doi.org/10.1007/978-1-4614-7378-7
  record info:
    record creation date: 130611
    record change date: 20151116135108.0
    record identifier: 978-1-4614-7378-7