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Stochastic Differential Systems: Proceedings of the 3rd Bad Honnef Conference June 3–7, 1985: Lecture Notes in Control and Information Sciences, cartea 78

Editat de Norbert Christopeit, Kurt Helmes, Michael Kohlmann
en Limba Engleză Paperback – feb 1986
The 4th Bad Honnef Conference on Stochastic Differential Systems highlighted recent advances in the areas of stochastic control and filtering theory as well as stochastic analysis. Special emphasis was put on the use of adaptive methods in stochastic systems analysis and on the theory of random fields, both very active fields of current research. There were six survey lectures, two of them on adaptive control of linear stochastic systems (Kumar, Lai), two on problems in stochastic analysis and random fields, (Surgailis, Wong) and one on singular perturbations in nonlinear filtering (Bensoussan). In addition, 37 research papers pertaining to the main topics of the conference were presented.
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Specificații

ISBN-13: 9783540162285
ISBN-10: 3540162283
Pagini: 384
Ilustrații: V, 375 p. 1 illus.
Dimensiuni: 170 x 244 x 20 mm
Greutate: 0.61 kg
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Control and Information Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Some points of interaction between stochastic analysis and quantum theory.- On a class of stochastic differential equations which do not satisfy Lipschitz conditions.- Current results and issues in stochastic control.- A method for constructing ?- optimal controls in problems with partial observation of the state.- Overload control for SPC telephone exchanges — refined models and stochastic control.- Stochastic maximum principle in the problem of optimal absolutely continuous change of measure.- Asymptotic Properties of Least-Squares Estimators in Semimartingale Regression Models.- A solution to the partially observed control problem of linear systems, with non-quadratic cost.- Stationary control of brownian motion in several dimensions.- Control of piecewise-deterministic processes via discrete-time dynamic programming.- Reverse time smoothing for point process observations.- A finitely additive version of Poincare's recurrence theorem.- Girsanov and Feynmann-Kac formulas in the discrete stochastic mechanics.- Existence of optimal markovian controls for degenerate diffusions.- On Levy's area process.- Central limit theorems and random currents.- On girsanov solutions of infinite dimensional SDEs.- Explicit solution of a general consumption/investment problem.- Viscosity solutions in partially observed control.- On necessary and sufficient conditions for the convergence to quasicontinuous semimartingales.- Limit theorems for stochastic differential equations and stochastic flows of diffeomorphisms.- Weak convergence and approximations for partial differential equations with random process coefficients.- Optimal control of reflected diffusion processes : An example of state constraints.- Asymptotic ordering of probability distributions for linear controlled systemswith quadratic cost.- Adaptive tracking of dynamic airborne vehicles based on (flir) image plane intensity data.- Wide band limit of Lyapounov exponents.- Filtering with observations on a Riemannian symmetric space.- To the theory of the generalized diffusion.- The linear operator-valued stochastic equations.- Stochastic calculus of variations revisited.- Stability under small perturbations.