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Item Details
Title: NONCONVEX OPTIMAL CONTROL AND VARIATIONAL PROBLEMS
By: Alexander J. Zaslavski
Format: Paperback

List price: £99.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1489996222
ISBN 13: 9781489996220
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 6 July, 2015
Edition: 2013 ed.
Series: Springer Optimization and Its Applications 82
Pages: 378
Description: This volume contains 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.
Synopsis: 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.
Illustrations: XI, 378 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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ALGORITHMS FOR SOLVING COMMON FIXED POINT PROBLEMS (HB)
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APPROXIMATE SOLUTIONS OF COMMON FIXED-POINT PROBLEMS (HB)
CONVEX OPTIMIZATION WITH COMPUTATIONAL ERRORS
CONVEX OPTIMIZATION WITH COMPUTATIONAL ERRORS (HB)
DISCRETE-TIME OPTIMAL CONTROL AND GAMES ON LARGE INTERVALS (HB)
DISCRETE-TIME OPTIMAL CONTROL AND GAMES ON LARGE INTERVALS (PB)
GENERICITY IN NONLINEAR ANALYSIS (HB)
GENERICITY IN NONLINEAR ANALYSIS (PB)
INFINITE PRODUCTS OF OPERATORS AND THEIR APPLICATIONS (PB)
MATHEMATICAL MODELS OF ECONOMIC DYNAMICS WITH DISCRETE INNOVATIONS (HB)
NONCONVEX OPTIMAL CONTROL AND VARIATIONAL PROBLEMS (HB)
NONLINEAR ANALYSIS AND OPTIMIZATION (PB)
NUMERICAL OPTIMIZATION WITH COMPUTATIONA (PB)
NUMERICAL OPTIMIZATION WITH COMPUTATIONAL ERRORS (HB)
OPTIMAL CONTROL PROBLEMS ARISING IN FOREST MANAGEMENT (PB)
OPTIMAL CONTROL PROBLEMS ARISING IN MATHEMATICAL ECONOMICS (HB)
OPTIMAL CONTROL PROBLEMS RELATED TO THE ROBINSON-SOLOW-SRINIVASAN MODEL
OPTIMAL CONTROL PROBLEMS RELATED TO THE ROBINSON-SOLOW-SRINIVASAN MODEL (HB)
OPTIMIZATION IN BANACH SPACES
OPTIMIZATION ON METRIC AND NORMED SPACES (HB)
OPTIMIZATION ON METRIC AND NORMED SPACES (PB)
OPTIMIZATION ON SOLUTION SETS OF COMMON FIXED POINT PROBLEMS
OPTIMIZATION ON SOLUTION SETS OF COMMON FIXED POINT PROBLEMS (HB)
OPTIMIZATION THEORY AND RELATED TOPICS (PB)
PROJECTED SUBGRADIENT ALGORITHM IN CONVEX OPTIMIZATION
STABILITY OF THE TURNPIKE PHENOMENON IN DISCRETE-TIME OPTIMAL CONTROL PROBLEMS (PB)
STRUCTURE OF APPROXIMATE SOLUTIONS OF OPTIMAL CONTROL PROBLEMS (PB)
STRUCTURE OF SOLUTIONS OF VARIATIONAL PROBLEMS (PB)
TURNPIKE CONDITIONS IN INFINITE DIMENSIONAL OPTIMAL CONTROL
TURNPIKE CONDITIONS IN INFINITE DIMENSIONAL OPTIMAL CONTROL (HB)
TURNPIKE PHENOMENON AND INFINITE HORIZON OPTIMAL CONTROL (HB)
TURNPIKE PHENOMENON AND INFINITE HORIZON OPTIMAL CONTROL (PB)
TURNPIKE PHENOMENON AND SYMMETRIC OPTIMIZATION PROBLEMS
TURNPIKE PHENOMENON AND SYMMETRIC OPTIMIZATION PROBLEMS (HB)
TURNPIKE PHENOMENON IN METRIC SPACES
TURNPIKE PHENOMENON IN METRIC SPACES (HB)
TURNPIKE PROPERTIES IN THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL (HB)
TURNPIKE PROPERTIES IN THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL (PB)
TURNPIKE THEORY FOR THE ROBINSON-SOLOW-SRINIVASAN MODEL
TURNPIKE THEORY FOR THE ROBINSON-SOLOW-SRINIVASAN MODEL (HB)
TURNPIKE THEORY OF CONTINUOUS-TIME LINEAR OPTIMAL CONTROL PROBLEMS (HB)
TURNPIKE THEORY OF CONTINUOUS-TIME LINEAR OPTIMAL CONTROL PROBLEMS (PB)
VARIATIONAL AND OPTIMAL CONTROL PROBLEMS ON UNBOUNDED DOMAINS (PB)

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