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Finite approximations in discrete-ti...

Saldi, Naci.

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Finite approximations in discrete-time stochastic control = quantized models and asymptotic optimality /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite approximations in discrete-time stochastic control/ by Naci Saldi, Tamas Linder, Serdar Yuksel.
Reminder of title:	quantized models and asymptotic optimality /
Author:	Saldi, Naci.
other author:	Linder, Tamas.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	vii, 198 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction and Summary -- Part I: Finite Model Approximations in Stochastic Control -- Prelude to Part I -- Finite Action Approximation of Markov Decision Processes -- Finite-State Approximation of Markov Decision Processes -- Approximations for Partially Observed Markov Decision Processes -- Approximations for Constrained Markov Decision Problems -- Part II: Finite Model Approximations in Decentralized Stochastic Control -- Prelude to Part II -- Finite Model Approximations in Decentralized Stochastic Control -- Asymptotic Optimality of Finite Models for Specific Systems -- Index -- References.
Contained By:	Springer eBooks
Subject:	Stochastic control theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-79033-6
ISBN:	9783319790336

Finite approximations in discrete-time stochastic control = quantized models and asymptotic optimality /
Saldi, Naci.

Finite approximations in discrete-time stochastic controlquantized models and asymptotic optimality /[electronic resource] :by Naci Saldi, Tamas Linder, Serdar Yuksel. - Cham :Springer International Publishing :2018. - vii, 198 p. :ill., digital ;24 cm. - Systems & control: foundations & applications,2324-9749. - Systems & control: foundations & applications..

Introduction and Summary -- Part I: Finite Model Approximations in Stochastic Control -- Prelude to Part I -- Finite Action Approximation of Markov Decision Processes -- Finite-State Approximation of Markov Decision Processes -- Approximations for Partially Observed Markov Decision Processes -- Approximations for Constrained Markov Decision Problems -- Part II: Finite Model Approximations in Decentralized Stochastic Control -- Prelude to Part II -- Finite Model Approximations in Decentralized Stochastic Control -- Asymptotic Optimality of Finite Models for Specific Systems -- Index -- References.

In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems. This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.

ISBN: 9783319790336

Standard No.: 10.1007/978-3-319-79033-6doiSubjects--Topical Terms:

647881
Stochastic control theory.

LC Class. No.: QA402.37 / .S253 2018

Dewey Class. No.: 515.642

Finite approximations in discrete-time stochastic control = quantized models and asymptotic optimality /
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100 1 $a Saldi, Naci. $3 3332574
245 1 0 $a Finite approximations in discrete-time stochastic control $h [electronic resource] : $b quantized models and asymptotic optimality / $c by Naci Saldi, Tamas Linder, Serdar Yuksel.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a vii, 198 p. : $b ill., digital ; $c 24 cm.
490 1 $a Systems & control: foundations & applications, $x 2324-9749
505 0 $a Introduction and Summary -- Part I: Finite Model Approximations in Stochastic Control -- Prelude to Part I -- Finite Action Approximation of Markov Decision Processes -- Finite-State Approximation of Markov Decision Processes -- Approximations for Partially Observed Markov Decision Processes -- Approximations for Constrained Markov Decision Problems -- Part II: Finite Model Approximations in Decentralized Stochastic Control -- Prelude to Part II -- Finite Model Approximations in Decentralized Stochastic Control -- Asymptotic Optimality of Finite Models for Specific Systems -- Index -- References.
520 $a In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems. This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
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650 0 $a Approximation theory. $3 628068
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650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Approximations and Expansions. $3 897324
700 1 $a Linder, Tamas. $3 3332575
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