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Optimal Control Problems Arising in Forest Management

  • Book
  • © 2019

Overview

Authors:
  1. Alexander J. Zaslavski

    1. Department of Mathematics, The Technion – Israel Institute of Techn, Rishon LeZion, Israel

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  • Develops the turnpike theory for optimal control problems arising in the forest management
  • Establishes the existence of solutions of infinite horizon optimal control problems arising in forest management
  • Describes structure of approximate solutions on finite intervals in the regions close to the end points

Part of the book series: SpringerBriefs in Optimization (BRIEFSOPTI)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • Alexander J. Zaslavski
    Pages 1-9

  3. Infinite Horizon Optimal Control Problems

    • Alexander J. Zaslavski
    Pages 11-31

  4. Turnpike Properties

    • Alexander J. Zaslavski
    Pages 33-62

  5. Generic Turnpike Properties

    • Alexander J. Zaslavski
    Pages 63-71

  6. Structure of Solutions in the Regions Close to the Endpoints

    • Alexander J. Zaslavski
    Pages 73-108

  7. Applications to the Forest Management Problem

    • Alexander J. Zaslavski
    Pages 109-130

  8. Back Matter

    Pages 131-136
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Keywords

About this book

This book is devoted to the study of optimal control problems arising in forest management, an important and fascinating topic in mathematical economics studied by many researchers over the years. The volume studies the forest management problem by analyzing a class of optimal control problems that contains it and showing the existence of optimal solutions over infinite horizon. It also studies the structure of approximate solutions on finite intervals and their turnpike properties, as well as the stability of the turnpike phenomenon and the structure of approximate solutions on finite intervals in the regions close to the end points. The book is intended for mathematicians interested in the optimization theory, optimal control and their applications to the economic theory.

Reviews

“It is clearly written in mathematical language, well structured, deep, well exemplified, care- and tastefully.” (Gerhard-Wilhelm Weber, Joanna Majchrzak and Emel Savku, zbMATH 1427.49001, 2020)

Authors and Affiliations

  • Department of Mathematics, The Technion – Israel Institute of Techn, Rishon LeZion, Israel

    Alexander J. Zaslavski

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