Numerical Methods for Controlled Stochastic Delay Systems

Author:   Harold Kushner
Publisher:   Birkhauser Boston Inc
Edition:   2008 ed.
ISBN:  

9780817645342


Pages:   282
Publication Date:   25 August 2008
Format:   Hardback
Availability:   In Print   Availability explained
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Numerical Methods for Controlled Stochastic Delay Systems


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Full Product Details

Author:   Harold Kushner
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2008 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.623kg
ISBN:  

9780817645342


ISBN 10:   0817645349
Pages:   282
Publication Date:   25 August 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface Examples and Introduction Weak Convergence and Martingales Stochastic Delay Equations: Models Approximations to the Dynamical Models The Ergodic Cost Problem Markov Chain Approximations: Introduction Markov Chain Approximations: Path and Control Delayed Path and Control Delayed: Continued A Wave Equation Approach References Index Symbol Index

Reviews

From the reviews: Overall this is a book entirely devoted to numerics of controlled stochastic systems with delays. In addition to analysis, it contains many numerical and simulation results. The book should be beneficial to both people working in the numerical methods of stochastic controls and people working in various applications who need to use numerical algorithms. It is perhaps the only comprehensive numerical study of controlled diffusions with delays to date...[I]t is conceivable that this book will become a standard reference in the stochastic control literature. --Mathematical Reviews This book extends the Markov chain approximation methods from nonlinear stochastic control problems in continuous time to stochastic systems with delays which arise in the realistic modeling of many physical, mechanical, biological or medical systems. ! An Index, a Symbol Index and a 95 titles reference list are also provided. ! used as a graduate level textbook or as a reference for researchers or practitioners dealing with stochastic delay equations, and interested in either the use of algorithms or of the underlying mathematics. (Adriana-Ioana Lefter, Memoirs of the Scientific Sections, 2009)


From the reviews: ""Overall this is a book entirely devoted to numerics of controlled stochastic systems with delays. In addition to analysis, it contains many numerical and simulation results. The book should be beneficial to both people working in the numerical methods of stochastic controls and people working in various applications who need to use numerical algorithms. It is perhaps the only comprehensive numerical study of controlled diffusions with delays to date...[I]t is conceivable that this book will become a standard reference in the stochastic control literature."" -Mathematical Reviews ""This book extends the Markov chain approximation methods from nonlinear stochastic control problems in continuous time to stochastic systems with delays which arise in the realistic modeling of many physical, mechanical, biological or medical systems. ... An Index, a Symbol Index and a 95 titles reference list are also provided. ... used as a graduate level textbook or as a reference for researchers or practitioners dealing with stochastic delay equations, and interested in either the use of algorithms or of the underlying mathematics."" (Adriana-Ioana Lefter, Memoirs of the Scientific Sections, 2009)


From the reviews: Overall this is a book entirely devoted to numerics of controlled stochastic systems with delays. In addition to analysis, it contains many numerical and simulation results. The book should be beneficial to both people working in the numerical methods of stochastic controls and people working in various applications who need to use numerical algorithms. It is perhaps the only comprehensive numerical study of controlled diffusions with delays to date...[I]t is conceivable that this book will become a standard reference in the stochastic control literature. --Mathematical Reviews This book extends the Markov chain approximation methods from nonlinear stochastic control problems in continuous time to stochastic systems with delays which arise in the realistic modeling of many physical, mechanical, biological or medical systems. ! An Index, a Symbol Index and a 95 titles reference list are also provided. ! used as a graduate level textbook or as a reference for researchers or practitioners dealing with stochastic delay equations, and interested in either the use of algorithms or of the underlying mathematics. (Adriana-Ioana Lefter, Memoirs of the Scientific Sections, 2009)


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