Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror / Edition 1

Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror / Edition 1

by Dieter Grass, Jonathan P. Caulkins, Gustav Feichtinger, Gernot Tragler, Doris A. Behrens
     
 

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ISBN-10: 354077646X

ISBN-13: 9783540776468

Pub. Date: 08/07/2008

Publisher: Springer Berlin Heidelberg

Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be

Overview

Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. 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. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.

Product Details

ISBN-13:
9783540776468
Publisher:
Springer Berlin Heidelberg
Publication date:
08/07/2008
Edition description:
2008
Pages:
552
Product dimensions:
6.30(w) x 9.30(h) x 1.50(d)

Table of Contents

Background.- Continuous-Time Dynamical Systems.- Applied Optimal Control.- Tour d'Horizon: Optimal Control.- The Path to Deeper Insight: From Lagrange to Pontryagin.- Multiple Equilibria, Points of Indifference, and Thresholds.- Advanced Topics.- Higher-Dimensional Models.- Numerical Methods for Discounted Systems of Infinite Horizon.- Extensions of the Maximum Principle.- Appendices.- Mathematical Background.- Derivations and Proofs of Technical Results.

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