Stochastic Control of Hereditary Systems and Applications [recurso electrónico] /
edited by Mou-Hsiung Chang.
- online resource.
- Stochastic Modelling and Applied Probability, 59 0172-4568 ; .
- Stochastic Modelling and Applied Probability, 59 .
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.
9780387758169 99780387758169
10.1007/978-0-387-75816-9 doi
MATHEMATICS. DIFFERENTIAL EQUATIONS, PARTIAL. DISTRIBUTION (PROBABILITY THEORY). MATHEMATICAL STATISTICS. MATHEMATICS. PROBABILITY THEORY AND STOCHASTIC PROCESSES. PARTIAL DIFFERENTIAL EQUATIONS. CONTROL, ROBOTICS, MECHATRONICS. STATISTICAL THEORY AND METHODS.