Controlled Diffusion Processes

Name: Controlled Diffusion Processes
Brand: Springer-Verlag New York Inc.
SKU: 9781461260530
Price: 829.14 RON
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Autor: N.V. Krylov, A.B. Aries

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Editura: Springer-Verlag New York Inc.

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Stochastic control theory is a relatively young branch of mathematics. The beginning of its intensiv...

Informații despre carte

Autor

N.V. Krylov, A.B. Aries

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

308

EAN

9781461260530

ISBN

1461260531

Enbook ID

02179532

Editura

Springer-Verlag New York Inc.

Greutate

492

Dimensiuni

156 x 236 x 23

Descriere completă

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.

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