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OverviewDynamic 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. Full Product DetailsAuthor: Dieter Grass , Jonathan P. Caulkins , Gustav Feichtinger , Gernot TraglerPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 1st ed. 2008 Dimensions: Width: 15.50cm , Height: 2.90cm , Length: 23.50cm Weight: 0.866kg ISBN: 9783642096396ISBN 10: 3642096395 Pages: 552 Publication Date: 19 October 2010 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsBackground.- 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.ReviewsFrom 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) 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) 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |