Cantitate/Preț
Produs

Continuous Average Control of Piecewise Deterministic Markov Processes: SpringerBriefs in Mathematics

Autor Oswaldo Luiz do Valle Costa, Francois Dufour
en Limba Engleză Paperback – 12 apr 2013
The intent of this book is to present recent results in the control theory for the long run average continuous control problem of piecewise deterministic Markov processes (PDMPs). The book focuses mainly on the long run average cost criteria and  extends to the PDMPs some well-known techniques related to discrete-time and continuous-time Markov decision processes, including the so-called ``average inequality approach'', ``vanishing discount technique'' and ``policy iteration algorithm''. We believe that what is unique about our approach is that, by using the special features of the PDMPs, we trace a parallel with the general theory for discrete-time Markov Decision Processes rather than the continuous-time case. The two main reasons for doing that is to use the powerful tools developed in the discrete-time framework and to avoid working with the infinitesimal generator associated to a PDMP, which in most cases has its domain of definition difficult to be characterized. Although the book is mainly intended to be a theoretically oriented text, it also contains some motivational examples. The book is targeted primarily for advanced students and practitioners of control theory. The book will be a valuable source for experts in the field of Markov decision processes. Moreover,  the book should be suitable for certain advanced courses or seminars. As  background, one needs an acquaintance with the theory of Markov decision processes and some knowledge of stochastic processes and modern analysis.  
Citește tot Restrânge

Din seria SpringerBriefs in Mathematics

Preț: 35157 lei

Nou

Puncte Express: 527

Preț estimativ în valută:
6730 6996$ 5580£

Carte tipărită la comandă

Livrare economică 01-07 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781461469827
ISBN-10: 1461469821
Pagini: 130
Ilustrații: XII, 116 p. 2 illus.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.19 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

​Introduction.- Average Continuous Control of PDMPs.- Optimality Equation for the Average Control of PDMPs.- The Vanishing Discount Approach for PDMPs.- The Policy Iteration Algorithm for PDMPs​.- References.

Recenzii

From the reviews:
“This book is a successful attempt to present a recent progress in some control problems for the class of Piecewise Deterministic Markov Processes (PDMP). … The book is addressed to readers who are well prepared. … The detailed description of problems, results, proofs and numerical illustrations makes the book a valuable source for many people working in stochastic control.” (Jordan M. Stoyanov, zbMATH, Vol. 1272, 2013)

Caracteristici

Uses the special features of the Piecewise Deterministic Markov Processes (PDMPs) Traces a parallel with the general theory for discrete-time Markov Decision Processes Uses the powerful tools developed in the discrete-time framework