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Cover: 9780521611978 | Stochastic Control of Partially Observable Systems | Taschenbuch
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Stochastic Control of Partially Observable Systems
Taschenbuch von Alain Bensoussan (u. a.)
Sprache: Englisch

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Beschreibung
The problem of stochastic control of partially observable systems plays an important role in many applications. All real problems are in fact of this type, and deterministic control as well as stochastic control with full observation can only be approximations to the real world. This justifies the importance of having a theory as complete as possible, which can be used for numerical implementation. This book first presents those problems under the linear theory that may be dealt with algebraically. Later chapters discuss the nonlinear filtering theory, in which the statistics are infinite dimensional and thus, approximations and perturbation methods are developed.
The problem of stochastic control of partially observable systems plays an important role in many applications. All real problems are in fact of this type, and deterministic control as well as stochastic control with full observation can only be approximations to the real world. This justifies the importance of having a theory as complete as possible, which can be used for numerical implementation. This book first presents those problems under the linear theory that may be dealt with algebraically. Later chapters discuss the nonlinear filtering theory, in which the statistics are infinite dimensional and thus, approximations and perturbation methods are developed.
Inhaltsverzeichnis
Preface; 1. Linear filtering theory; 2. Optimal stochastic control for linear dynamic systems with quadratic payoff; 3. Optimal control of linear stochastic systems with an exponential-of-integral performance index; 4. Non linear filtering theory; 5. Perturbation methods in non linear filtering; 6. Some explicit solutions of the Zakai equation; 7. Some explicit controls for systems with partial observation; 8. Stochastic maximum principle and dynamic programming for systems with partial observation; 9. Existence results for stochastic control problems with partial information; References; Index.
Details
Erscheinungsjahr: 2004
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521611978
ISBN-10: 0521611970
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bensoussan, Alain
Alain, Bensoussan
Hersteller: Cambridge University Press
Maße: 246 x 189 x 20 mm
Von/Mit: Alain Bensoussan (u. a.)
Erscheinungsdatum: 28.09.2004
Gewicht: 0,704 kg
Artikel-ID: 102434737
Inhaltsverzeichnis
Preface; 1. Linear filtering theory; 2. Optimal stochastic control for linear dynamic systems with quadratic payoff; 3. Optimal control of linear stochastic systems with an exponential-of-integral performance index; 4. Non linear filtering theory; 5. Perturbation methods in non linear filtering; 6. Some explicit solutions of the Zakai equation; 7. Some explicit controls for systems with partial observation; 8. Stochastic maximum principle and dynamic programming for systems with partial observation; 9. Existence results for stochastic control problems with partial information; References; Index.
Details
Erscheinungsjahr: 2004
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521611978
ISBN-10: 0521611970
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bensoussan, Alain
Alain, Bensoussan
Hersteller: Cambridge University Press
Maße: 246 x 189 x 20 mm
Von/Mit: Alain Bensoussan (u. a.)
Erscheinungsdatum: 28.09.2004
Gewicht: 0,704 kg
Artikel-ID: 102434737
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