Optimal Control of Nonlinear Processes

With Applications in Drugs, Corruption, and Terror
1. Auflage. Softcover version of original hardcover Auflage 2008
ISBN: 978-3-642-09639-6
Verlag: Springer

Buch, Englisch, 552 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 855 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Grass, Dieter

Caulkins, Jonathan P.

Behrens, Doris A.

Feichtinger, Gustav

Tragler, Gernot

Fachgebiete

• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Präventivmedizin, Gesundheitsförderung, Medizinisches Screening
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik

Inhaltsverzeichnis

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.