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

Optimal Control of Nonlinear Processes (eBook, PDF)

With Applications in Drugs, Corruption, and Terror

• Format: PDF

Produktbeschreibung

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. 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. The authors celebrate Pontryagin's Maximum Principle - that crowning intellectual achievement of human understanding. Yet they go further, pushing 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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 552
• Erscheinungstermin: 24. Juli 2008
• Englisch
• ISBN-13: 9783540776475
• Artikelnr.: 37367014

Inhaltsangabe

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.

Rezensionen

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)