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Titlebook: Optimal Control of Nonlinear Processes; With Applications in Dieter Grass,Jonathan P. Caulkins,Doris A. Behrens Book 2008 Springer-Verlag B

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書目名稱Optimal Control of Nonlinear Processes
副標(biāo)題With Applications in
編輯Dieter Grass,Jonathan P. Caulkins,Doris A. Behrens
視頻videohttp://file.papertrans.cn/703/702832/702832.mp4
概述Besides providing the theoretical foundations, the book contains applications in various fields.Applications cover very timely topics like drug policy, corruption, and counter-terror.Includes suppleme
圖書封面Titlebook: Optimal Control of Nonlinear Processes; With Applications in Dieter Grass,Jonathan P. Caulkins,Doris A. Behrens Book 2008 Springer-Verlag B
描述.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..
出版日期Book 2008
關(guān)鍵詞Corruption; Counter-terror; Drug Policy; Nonlinear Processes; Optimal Control Theory; optimization
版次1
doihttps://doi.org/10.1007/978-3-540-77647-5
isbn_softcover978-3-642-09639-6
isbn_ebook978-3-540-77647-5
copyrightSpringer-Verlag Berlin Heidelberg 2008
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Tour d’Horizon: Optimal Controlrmal proof of the Maximum Principle. Then the Maximum Principle is extended to the case of an infinite planning horizon. This is followed by the presentation of a onedimensional optimal control model, and we give an economic interpretation of the Maximum Principle.
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Continuous-Time Dynamical Systemscal systems, we first provide a historical introduction, and then present the simple case of a onedimensional dynamical system, introducing important concepts in an informal manner. Subsequently we restate these concepts and the required theory in a rigorous way.
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Higher-Dimensional Modelsns concern how to organize all of the components of an overall analysis. Given a particular mathematical formulation, what does one do first? What second? What does one do when one analytic strategy hits a dead end? We illustrate how to answer such questions with three innovative examples that are w
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Numerical Methods for Discounted Systems of Infinite Horizonh optimal control problems..Several approaches can be chosen to solve optimal control problems. The method presented here uses Pontryagin‘s Maximum Principle to establish the corresponding canonical system. In its essence, solving an optimal control problem is translated to the problem of analyzing
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Extensions of the Maximum Principlehe Stackelberg concepts are introduced. Examples from the fields of corruption and terrorism are provided to illustrate the flavor of differential games..The homogeneity of economic agents is admittedly a fiction. There are several avenues to introduce heterogeneity. One of them has been discussed i
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