Author : Mou-Hsiung Chang
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 51,8 Mb
Release : 2008-01-03
Category : Mathematics
ISBN : 9780387758169
Stochastic Control of Hereditary Systems and Applications by Mou-Hsiung Chang Pdf
This monograph develops the Hamilton-Jacobi-Bellman theory via dynamic programming principle for a class of optimal control problems for stochastic hereditary differential equations (SHDEs) driven by a standard Brownian motion and with a bounded or an infinite but fading memory. These equations represent a class of stochastic infinite-dimensional systems that become increasingly important and have wide range of applications in physics, chemistry, biology, engineering and economics/finance. This monograph can be used as a reference for those who have special interest in optimal control theory and applications of stochastic hereditary systems.