Optimal Control of Nonlinear Processes
Springer Berlin (Verlag)
978-3-540-77646-8 (ISBN)
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.
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.
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.
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)
| Erscheint lt. Verlag | 7.8.2008 |
|---|---|
| Zusatzinfo | XX, 552 p. 91 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 975 g |
| Themenwelt | Wirtschaft ► Allgemeines / Lexika |
| Wirtschaft ► Volkswirtschaftslehre | |
| Schlagworte | Corruption • Counter-terror • Drug policy • Nichtlineares System • Nichtlineare Systeme • Nonlinear Processes • optimal control theory • Optimization |
| ISBN-10 | 3-540-77646-X / 354077646X |
| ISBN-13 | 978-3-540-77646-8 / 9783540776468 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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