书目名称 | Turnpike Phenomenon in Metric Spaces |
编辑 | Alexander J. Zaslavski |
视频video | |
概述 | Turnpike theory for dynamical systems in metric spaces with a Lyapunov function is developed.Turnpike theory for discrete-time optimal control problems in metric spaces is developed.Turnpike theory fo |
丛书名称 | Springer Optimization and Its Applications |
图书封面 |  |
描述 | .This book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small perturbations of objective functions. The most important feature of this book is that it develops a large, general class of optimal control problems in metric space. Additional value is in the provision of solutions to a number of difficult and interesting problems in optimal control theory in metric spaces. Mathematicians working in optimal control, optimization, and experts in applications of optimal control to economics and engineering, will find this book particularly useful..All main results obtained in the book are new. The monograph contains nine chapters. Chapter 1 is an introduction. Chapter 2 discusses Banach space valued functions, set-valued mappings in infinite dimensional spaces, and related continuous-time dynamical systems. Some convergence results are obtained. In Chapter 3, a discrete-time dynamical system with a Lyapunov function in a metric space induced by a set-valued mapping, is studied. Chapter 4 is devoted to the study |
出版日期 | Book 2023 |
关键词 | optimal control; turnpike phenomenon; objective function; metric space; Lyapunov function; discrete-time |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-27208-0 |
isbn_softcover | 978-3-031-27210-3 |
isbn_ebook | 978-3-031-27208-0Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |