Stochastic Control Theory and Stochastic Differential Systems - Proceedings of a Workshop of the "Sonderforschungsbereich 72 der Deutschen Forschungsgemeinschaft an der Universität Bonn" which took place in January 1979 at Bad Honnef

White noise models in non-linear filtering and control.- Optimal impulsive control theory.- An introduction to duality in random mechanics.- Linear stochastic it¿ equations in Hilbert space.- Martingale methods in stochastic control.- A geometric approach to linear control and estimation.- The martingale calculus and applications.- Interaction between stochastic differential equations and partial differential equations.- Approximation of solutions to differential equations with random inputs by diffusion processes.- Optimal conditions and sufficient statistics for controlled jump processes.- Stochastic filtering theory: A discussion of concepts, methods, and results.- to the theory of optimal stopping.- Weak martingales associated with a two parameter jump process.- Stochastic stagewise Stackleberg strategies for linear quadratic systems.- Some remarks concerning attainable sets of stochastic optimal control systems.- Potential theory in optimal stopping and alternatinc processes.- Adaptive control of Markov chains.- Solution of the limited risk problem without rank conditions.- The parameterization of rational transferfunction linear systems.- A stochastic model for the electrical conduction in non homogeneous layers.- Policy improvement algorithm for continuous time Markov decision processes with switching costs.- An algebro-geometric approach to estimation and stochastic control for linear pure delay time systems.- A non-linear martingale problem.- Pathwise construction of random variables and function space integrals.- Non-gaussianity and non-linearity in electroencephalographic time series.- Canonical form and local characteristics of semimartingales.- On identification and the geometry of the space of linear systems.- A numerical comparison of non-linear with linear prediction for the transformed Ornstein-Uhlenbeck process.- On the bandit problem.- Existence and uniqueness for stochastic differential equations.- On the solution and the moments of linear systems with randomly disturbed parameters.- Some exact results on stability and growth of linear parameter excited stochastic systems.- A variational inequality for a partially observed stopping time problem.- Equations du filtrage non lineaire pour des processus a deux indices.- Minimum covariance, minimax and minimum energy linear estimators.- Non linear filtering for the system with general noise.- Filtering of a diffusion process with poisson-type observation.- On weak closures of convex and solid sets of probability measures.- Non L1-bounded martingales.- On the definition and detection of structural change.- Exact filtering in exponential families: Discrete time.- Lower estimation error bounds for Gauss-Poisson processes.- Sur L'Approximation D'Un Processus De Transport Par Une Diffusion.- Resolution of measurability problems in discrete ¿ time stochastic control.- Optimal non-explosive control of a non constrained diffusion and behaviour when the discount vanishes.- Sequential estimation of the solution of an integral equation in filtering theory.- Causal and non-anticipating solutions of stochastic equations.

List of contents

White noise models in non-linear filtering and control.- Optimal impulsive control theory.- An introduction to duality in random mechanics.- Linear stochastic itô equations in Hilbert space.- Martingale methods in stochastic control.- A geometric approach to linear control and estimation.- The martingale calculus and applications.- Interaction between stochastic differential equations and partial differential equations.- Approximation of solutions to differential equations with random inputs by diffusion processes.- Optimal conditions and sufficient statistics for controlled jump processes.- Stochastic filtering theory: A discussion of concepts, methods, and results.- to the theory of optimal stopping.- Weak martingales associated with a two parameter jump process.- Stochastic stagewise Stackleberg strategies for linear quadratic systems.- Some remarks concerning attainable sets of stochastic optimal control systems.- Potential theory in optimal stopping and alternatinc processes.- Adaptive control of Markov chains.- Solution of the limited risk problem without rank conditions.- The parameterization of rational transferfunction linear systems.- A stochastic model for the electrical conduction in non homogeneous layers.- Policy improvement algorithm for continuous time Markov decision processes with switching costs.- An algebro-geometric approach to estimation and stochastic control for linear pure delay time systems.- A non-linear martingale problem.- Pathwise construction of random variables and function space integrals.- Non-gaussianity and non-linearity in electroencephalographic time series.- Canonical form and local characteristics of semimartingales.- On identification and the geometry of the space of linear systems.- A numerical comparison of non-linear withlinear prediction for the transformed Ornstein-Uhlenbeck process.- On the bandit problem.- Existence and uniqueness for stochastic differential equations.- On the solution and the moments of linear systems with randomly disturbed parameters.- Some exact results on stability and growth of linear parameter excited stochastic systems.- A variational inequality for a partially observed stopping time problem.- Equations du filtrage non lineaire pour des processus a deux indices.- Minimum covariance, minimax and minimum energy linear estimators.- Non linear filtering for the system with general noise.- Filtering of a diffusion process with poisson-type observation.- On weak closures of convex and solid sets of probability measures.- Non L1-bounded martingales.- On the definition and detection of structural change.- Exact filtering in exponential families: Discrete time.- Lower estimation error bounds for Gauss-Poisson processes.- Sur L'Approximation D'Un Processus De Transport Par Une Diffusion.- Resolution of measurability problems in discrete - time stochastic control.- Optimal non-explosive control of a non constrained diffusion and behaviour when the discount vanishes.- Sequential estimation of the solution of an integral equation in filtering theory.- Causal and non-anticipating solutions of stochastic equations.

Product details

• Assisted by: Kohlmann (Editor), M Kohlmann (Editor), M. Kohlmann (Editor), Michael Kohlmann (Editor), Vogel (Editor), Vogel (Editor), W. Vogel (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 15.10.2013
• EAN: 9783540094807
• ISBN: 978-3-540-09480-7
• No. of pages: 617
• Weight: 1100 g
• Illustrations: XII, 617 p. 1 illus.
• Series: Lecture Notes in Control and Information Sciences; Lecture Notes in Control and Information Sciences
• Subject: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries