TY - BOOK AU - Chang,Mou-Hsiung ED - SpringerLink (Online service) TI - Stochastic Control of Hereditary Systems and Applications T2 - Stochastic Modelling and Applied Probability, SN - 9780387758169 U1 - 519.2 23 PY - 2008/// CY - New York, NY PB - Springer New York KW - MATHEMATICS KW - DIFFERENTIAL EQUATIONS, PARTIAL KW - DISTRIBUTION (PROBABILITY THEORY) KW - MATHEMATICAL STATISTICS KW - PROBABILITY THEORY AND STOCHASTIC PROCESSES KW - PARTIAL DIFFERENTIAL EQUATIONS KW - CONTROL, ROBOTICS, MECHATRONICS KW - STATISTICAL THEORY AND METHODS N1 - and Summary -- Stochastic Hereditary Differential Equations -- Stochastic Calculus -- Optimal Classical Control -- Optimal Stopping -- Discrete Approximations -- Option Pricing -- Hereditary Portfolio Optimization N2 - 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 UR - http://dx.doi.org/10.1007/978-0-387-75816-9 ER -