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Könyv Infinite Horizon Optimal Control Arie Leizarowitz

Infinite Horizon Optimal Control

Deterministic and Stochastic Systems

Szerző: Arie Leizarowitz
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
42 422 Ft
This monograph deals with various classes of deterministic and stochastic continuous time optimal co...

Információk a könyvről

Szerző
Arie Leizarowitz
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2011
oldal
332
EAN
9783642767579
ISBN
9783642767579
Enbook ID
06622378
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
603
Méretek
170 x 242 x 20

Teljes leírás

This monograph deals with various classes of deterministic and stochastic continuous time optimal control problems that are defined over unbounded time intervals. For these problems the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts, referred to here as overtaking optimality, weakly overtaking optimality, agreeable plans, etc. , have been proposed. The motivation for studying these problems arises primarily from the economic and biological sciences where models of this type arise naturally. Indeed, any bound placed on the time hori zon is artificial when one considers the evolution of the state of an economy or species. The responsibility for the introduction of this interesting class of problems rests with the economists who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey [152] who, in his seminal work on the theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a Lagrange problem with unbounded time interval. The advent of modern control theory, particularly the formulation of the famous Maximum Principle of Pontryagin, has had a considerable impact on the treat ment of these models as well as optimization theory in general.

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