Optimal Control of Nonlinear Processes
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Optimal Control of Nonlinear Processes

With Applications in Drugs, Corruption, and Terror
 eBook
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783540776475
Veröffentl:
2008
Einband:
eBook
Seiten:
552
Autor:
Dieter Grass
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Beschreibung:

This volume is designed to be a lively introduction to the mathematics of this rapidly advancing subject, and a bridge to a number of hot topics in the economics of crime for current scholars.

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.

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.

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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