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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“This book essentially ‘examines the Pontryagin principle using a Karush-Kuhn-Tucker theorem in ordered Banach spaces’ for finite-horizon setting based on the results of Boltyanski and Michel results. ... is aimed at researchers and doctoral students in a variety of disciplines such as pure and applied mathematics, economics, management, engineering ... . This volume is a welcome addition to the classic book ... .” (D. Subbaram Naidu, Amazon.com, April, 2014)

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Infinite-Horizon Optimal Control in the Discrete-Time Framework

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