Research Catalog

Stochastic control of hereditary systems and applications / Mou-Hsiung Chang.

Title
Stochastic control of hereditary systems and applications / Mou-Hsiung Chang.
Author
Chang, Mou-Hsiung.
Publication
New York : Springer, c2008

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vol.59TextRequest in advance QA1 .A6 vol. 59 vol.59Off-site

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Description
xviii, 404 p.; 24 cm.
Summary
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.
Series Statement
Stochastic modelling and applied probability ; 59
Uniform Title
Stochastic modelling and applied probability ; 59.
Subject
  • Stochastic control theory
  • Hamilton-Jacobi equations
  • Differential equations, partial
  • Distribution (Probability theory)
  • Mathematical statistics
  • Mathematics
Bibliography (note)
  • Includes bibliographical references (p. [393]-400) and index.
Processing Action (note)
  • committed to retain
Contents
and Summary -- Stochastic Hereditary Differential Equations -- Stochastic Calculus -- Optimal Classical Control -- Optimal Stopping -- Discrete Approximations -- Option Pricing -- Hereditary Portfolio Optimization.
ISBN
  • 0387758054
  • 9780387758053
LCCN
^^2007941276
OCLC
181090533
Owning Institutions
Harvard Library