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Link to original content: https://link.springer.com/doi/10.1007/978-3-540-77647-5
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Optimal Control of Nonlinear Processes

With Applications in Drugs, Corruption, and Terror

  • Book
  • © 2008

Overview

Authors:
  1. Dieter Grass

    1. Gottfried Wilhelm Leibniz, Institute for Mathematical Methods in Economics, Vienna, Austria

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  2. Jonathan P. Caulkins

    1. RAND Research Center, Pittsburgh, USA

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  3. Gustav Feichtinger

    1. Gottfried Wilhelm Leibniz, Institute for Mathematical Methods in Economics, Vienna, Austria

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  4. Gernot Tragler

    1. Gottfried Wilhelm Leibniz, Institute for Mathematical Methods in Economics, Vienna, Austria

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  5. Doris A. Behrens

    1. Department of Economics, University of Klagenfurt, Klagenfurt, Austria

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  • Besides providing the theoretical foundations, the book contains applications in various fields
  • Applications cover very timely topics like drug policy, corruption, and counter-terror
  • Includes supplementary material: sn.pub/extras

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About this book

Dynamic optimization is rocket science – and more. This volume teaches how to harness the modern theory of dynamic optimization to solve practical problems, not only from space flight but also in emerging social applications such as the control of drugs, corruption, and terror. These innovative domains are usefully thought about in terms of populations, incentives, and interventions, concepts which map well into the framework of optimal dynamic control. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. We celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding – and push its frontiers by exploring models that display multiple equilibria whose basins of attraction are separated by higher-dimensional DNSS "tipping points". That rich theory is complemented by numerical methods available through a companion web site.

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Background

    1. Introduction

      Pages 3-8

    2. Continuous-Time Dynamical Systems

      Pages 9-98

  6. Back Matter

    Pages 505-551
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Reviews

From the reviews:

"This textbook on optimal control of nonlinear processes introduces several innovations compared to standard textbooks on this topic. … The software used is available through a companion website. The book can be highly recommended to students, teachers, and researchers interested in optimal control." (Walter Alt, Zentralblatt MATH, Vol. 1149, 2008)

Authors and Affiliations

  • Gottfried Wilhelm Leibniz, Institute for Mathematical Methods in Economics, Vienna, Austria

    Dieter Grass, Gustav Feichtinger, Gernot Tragler

  • RAND Research Center, Pittsburgh, USA

    Jonathan P. Caulkins

  • Department of Economics, University of Klagenfurt, Klagenfurt, Austria

    Doris A. Behrens

Bibliographic Information

  • Book Title: Optimal Control of Nonlinear Processes

  • Book Subtitle: With Applications in Drugs, Corruption, and Terror

  • Authors: Dieter Grass, Jonathan P. Caulkins, Gustav Feichtinger, Gernot Tragler, Doris A. Behrens

  • DOI: https://doi.org/10.1007/978-3-540-77647-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Business and Economics, Economics and Finance (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • Hardcover ISBN: 978-3-540-77646-8Published: 07 August 2008

  • Softcover ISBN: 978-3-642-09639-6Published: 19 October 2010

  • eBook ISBN: 978-3-540-77647-5Published: 24 July 2008

  • Edition Number: 1

  • Number of Pages: XX, 552

  • Number of Illustrations: 91 b/w illustrations

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Operations Research/Decision Theory, Epidemiology

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