N. V. Krylov: Controlled Diffusion Processes

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Cover: 9783540709138 | Controlled Diffusion Processes | N. V. Krylov | Taschenbuch | xii

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Sprache: Englisch

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Beschreibung

Stochastic control theory is a relatively young branch of mathematics. The beginning of its intensive development falls in the late 1950s and early 1960s. ~urin~ that period an extensive literature appeared on optimal stochastic control using the quadratic performance criterion (see references in Wonham [76]). At the same time, Girsanov [25] and Howard [26] made the first steps in constructing a general theory, based on Bellman's technique of dynamic programming, developed by him somewhat earlier [4]. 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 [8], Mine and Osaki [55], 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.

Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

to the Theory of Controlled Diffusion Processes.- Auxiliary Propositions.- General Properties of a Payoff Function.- The Bellman Equation.- The Construction of ?-Optimal Strategies.- Controlled Processes with Unbounded Coefficients: The Normed Bellman Equation.

Erscheinungsjahr:	2008
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	324
Reihe:	Stochastic Modelling and Applied Probability
Inhalt:	xii 310 S.
ISBN-13:	9783540709138
ISBN-10:	3540709134
Sprache:	Englisch
Herstellernummer:	12443963
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Krylov, N. V.
Übersetzung:	Aries, A. B.
Auflage:	1980
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg Stochastic Modelling and Applied Probability
Maße:	235 x 155 x 18 mm
Von/Mit:	N. V. Krylov
Erscheinungsdatum:	15.10.2008
Gewicht:	0,493 kg

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