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Infinite-Horizon Optimal Control in the Discrete-Time Framework [electronic resource] /by Joël Blot, Naïla Hayek.

by Blot, Joël [author.]; Hayek, Naïla [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Optimization: Publisher: New York, NY : Springer New York : 2014.Description: VII, 126 p. online resource.ISBN: 9781461490388.Subject(s): Mathematics | Differentiable dynamical systems | Functional analysis | Mathematical optimization | Mathematics | Calculus of Variations and Optimal Control; Optimization | Dynamical Systems and Ergodic Theory | Nonlinear Dynamics | Functional AnalysisDDC classification: 515.64 Online resources: Click here to access online
Contents:
1. Presentation of the problems and tools of the finite horizon -- 2. Infinite horizon theorems -- 3. The special case of the bounded processes -- Related topics. Appendix A : Sequences -- Appendix B: Static optimization -- References.
In: Springer eBooksSummary: In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles  are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems.  Infinite-Horizon Optimal Control in the Discrete-Time Framework  is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and  Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.
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1. Presentation of the problems and tools of the finite horizon -- 2. Infinite horizon theorems -- 3. The special case of the bounded processes -- Related topics. Appendix A : Sequences -- Appendix B: Static optimization -- References.

In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles  are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems.  Infinite-Horizon Optimal Control in the Discrete-Time Framework  is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and  Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.

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