书目名称 | Nonconvex Optimal Control and Variational Problems |
编辑 | Alexander J. Zaslavski |
视频video | |
概述 | Presents progress in the studies of nonconvex optimal control and variational problems.Employs the Baire category approach to consider problems that do not satisfy convexity assumptions.Establishes th |
丛书名称 | Springer Optimization and Its Applications |
图书封面 |  |
描述 | .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 sci |
出版日期 | Book 2013 |
关键词 | Baire category approach; Lavrentiev phenomenon; calculus of variations; nonconvex optimal control |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-7378-7 |
isbn_softcover | 978-1-4899-9622-0 |
isbn_ebook | 978-1-4614-7378-7Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | Springer Science+Business Media New York 2013 |