Controlled Diffusion Processes
Language: English
Published by Springer New York Nov 1980, 1980
- Hardcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 140.11
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -Stochastic control theory is a relatively young branch of mathematics. The beginning of its intensive development falls in the late 1950s and early 1960s. During that period an extensive literature appeared on optimal stochastic control using the quadratic performance criterion (see references in W onham [76J). At the same time, Girsanov [25J and Howard [26J made the first steps in constructing a general theory, based on Bellman's technique of dynamic programming, developed by him somewhat earlier [4J. Two types of engineering problems engendered two different parts of stochastic control theory. Problems of the first type are associated with multistep decision making in discrete time, and are treated in the theory of discrete stochastic dynamic programming. For more on this theory, we note in addition to the work of Howard and Bellman, mentioned above, the books by Derman [8J, Mine and Osaki [55J, and Dynkin and Yushkevich [12]. Another class of engineering problems which encouraged the development of the theory of stochastic control involves time continuous control of a dynamic system in the presence of random noise. The case where the system is described by a differential equation and the noise is modeled as a time continuous random process is the core of the optimal control theory of diffusion processes. This book deals with this latter theory. 324 pp. Englisch.…
Seller Inventory # 9780387904610
- Title
- Controlled Diffusion Processes
- Author
- N. V. Krylov
- Publisher
- Springer New York Nov 1980
- Publication year
- 1980
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0387904611
- ISBN 13
- 9780387904610
- Item weight
- 653 grams
- Dimensions
- 241x160x23 mm
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book deals with the optimal control of solutions of fully observable Ito-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed.
Topics include optimal stopping; one dimensional controlled diffusion; the Lp-estimates of stochastic integral distributions; the existence theorem for stochastic equations; the Ito formula for functions; and the Bellman principle, equation, and normalized equation.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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