Controlled Markov processes and viscosity solutions
Author(s)
Bibliographic Information
Controlled Markov processes and viscosity solutions
(Applications of mathematics, 25)
Springer-Verlag, c1993
- : us
- : gw
Available at / 77 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: New YorkFLE||2||392063356
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Kobe University Library for Science and Technology
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Hokkaido University, Faculty and Graduate School of Engineering図書
: usDC20:519.2/F6293570365015
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
:New Yorkdc20:519.2/f6292070249557
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Note
Includes bibliographical references (p. [409]-424) and index
Description and Table of Contents
Description
This book is intended as an introduction to optimal stochastic control for continuous time Markov processes and to the theory of viscosity solutions. The authors approach stochastic control problems by the method of dynamic programming. The text provides an introduction to dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. Also covered are controlled Markov diffusions and viscosity solutions of Hamilton-Jacobi-Bellman equations. The authors have tried, through illustrative examples and selective material, to connect stochastic control theory with other mathematical areas (e.g. large deviations theory) and with applications to engineering, physics, management, and finance.
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