# Stochastic Control of Hereditary Systems and Applications [electronic resource] / edited by Mou-Hsiung Chang.

Material type: TextSeries: Stochastic Modelling and Applied Probability ; 59Publisher: New York, NY : Springer New York, 2008Description: XVIII, 406 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387758169Subject(s): Mathematics | Partial differential equations | Probabilities | Statistics | Control engineering | Robotics | Mechatronics | Mathematics | Probability Theory and Stochastic Processes | Partial Differential Equations | Control, Robotics, Mechatronics | Statistical Theory and MethodsAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access onlineItem type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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and Summary -- Stochastic Hereditary Differential Equations -- Stochastic Calculus -- Optimal Classical Control -- Optimal Stopping -- Discrete Approximations -- Option Pricing -- Hereditary Portfolio Optimization.

This research monograph develops the Hamilton-Jacobi-Bellman (HJB) theory through dynamic programming principle for a class of optimal control problems for stochastic hereditary differential systems. It is driven by a standard Brownian motion and with a bounded memory or an infinite but fading memory. The optimal control problems treated in this book include optimal classical control and optimal stopping with a bounded memory and over finite time horizon. This book can be used as an introduction for researchers and graduate students who have a special interest in learning and entering the research areas in stochastic control theory with memories. Each chapter contains a summary. Mou-Hsiung Chang is a program manager at the Division of Mathematical Sciences for the U.S. Army Research Office.