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Titlebook: Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems; Alexander J. Zaslavski Book 2014 The Author 2014 approxima

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发表于 2025-3-21 18:43:39 | 显示全部楼层 |阅读模式
书目名称Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems
编辑Alexander J. Zaslavski
视频video
概述Presents new approaches, techniques, methods and solutions to difficult problems in optimal control.Develops the stability of the turnpike phenomenon for problems with discounting.Examines the structu
丛书名称SpringerBriefs in Optimization
图书封面Titlebook: Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems;  Alexander J. Zaslavski Book 2014 The Author 2014 approxima
描述The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals; these results apply to the so-called turnpike property of the optimal control problems. By encompassing the so-called turnpike property the approximate solutions of the problems are determined primarily by the objective function and are fundamentally independent of the choice of interval and endpoint conditions, except in regions close to the endpoints. This book also explores the turnpike phenomenon for two large classes of autonomous optimal control problems. It is illustrated that the turnpike phenomenon is stable for an optimal control problem if the corresponding infinite horizon optimal control problem possesses an asymptotic turnpike property. If an optimal control problem belonging to the first class possesses the turnpike property, then the turnpike is a singleton (unit set). The stability of
出版日期Book 2014
关键词approximate solutions; asymptotic turnpike property; autonomous problems; discrete-time optimal control
版次1
doihttps://doi.org/10.1007/978-3-319-08034-5
isbn_softcover978-3-319-08033-8
isbn_ebook978-3-319-08034-5Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightThe Author 2014
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发表于 2025-3-21 21:17:15 | 显示全部楼层
Optimal Control Problems with Discounting,pike phenomenon under small perturbations of the objective function . and the set Ω in the case with discounting. The results of the chapter generalize the results obtained in [54] for the discounting case with a perturbation only on the objective function.
发表于 2025-3-22 03:16:22 | 显示全部楼层
发表于 2025-3-22 06:50:48 | 显示全部楼层
Book 2014ms without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals; these results apply to the so-called turnpike property of the
发表于 2025-3-22 12:48:47 | 显示全部楼层
发表于 2025-3-22 15:04:11 | 显示全部楼层
Optimal Control Problems with Nonsingleton Turnpikes,ce of objective functions. We show that the turnpike phenomenon is stable under perturbations of an objective function if the corresponding infinite horizon optimal control problem possesses an asymptotic turnpike property.
发表于 2025-3-22 17:36:52 | 显示全部楼层
Introduction,s has recently been a rapidly growing area of research. See, for example, [3, 4, 7–11, 13, 14, 16, 18–22, 25, 27, 32–34, 36, 44, 45, 52, 55] and the references mentioned therein. These problems arise in engineering [1, 23, 57], in models of economic growth [2, 5, 12, 13, 17, 22, 26, 31, 35, 38, 39,
发表于 2025-3-22 23:26:13 | 显示全部楼层
发表于 2025-3-23 04:17:16 | 显示全部楼层
Optimal Control Problems with Discounting,ace of states . and with a singleton turnpike. These problems are described by a nonempty closed set . which determines a class of admissible trajectories (programs) and by a bounded upper semicontinuous objective function . which determines an optimality criterion. We show the stability of the turn
发表于 2025-3-23 07:22:48 | 显示全部楼层
Optimal Control Problems with Nonsingleton Turnpikes,with nonsingleton turnpikes and with a compact metric space of states. This class of optimal control problems is identified with a complete metric space of objective functions. We show that the turnpike phenomenon is stable under perturbations of an objective function if the corresponding infinite h
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