Description 
1 online resource (xii, 116 pages) : illustrations 
Series 
SpringerBriefs in mathematics, 21918198 

SpringerBriefs in mathematics.

Contents 
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  Examples 
Summary 
"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 wellknown techniques related to discretetime and continuoustime Markov decision processes, including the socalled "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 discretetime Markov Decision Processes rather than the continuoustime case. The two main reasons for doing that is to use the powerful tools developed in the discretetime 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."Publisher's website 
Analysis 
Mathematics 

Distribution (Probability theory) 

Probability Theory and Stochastic Processes 

Continuous Optimization 

Systems Theory, Control 

Operations Research, Management Science 

Complex Systems 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Control theory  Mathematical models.


Markov processes.

Form 
Electronic book

Author 
Dufour, François (Mathematician)

LC no. 
2013934018 
ISBN 
146146983X (electronic bk.) 

9781461469834 (electronic bk.) 
