A Bayesian approach to problems in stochastic estimation and control

作者: Y. Ho , R. Lee

DOI: 10.1109/TAC.1964.1105763

关键词: Nonlinear systemStochastic controlStochastic resonanceStochastic processGaussian noiseMathematical optimizationDecision theoryMathematicsBayes' theoremBayesian probability

摘要: In this paper, a general class of stochastic estimation and control problems is formulated from the Bayesian Decision-Theoretic viewpoint. A discussion as to how these can be solved step by in principle practice approach presented. As specific example, closed form Wiener-Kalman solution for linear Gaussian noise derived. The purpose paper show that provides; 1) unifying framework within which pursue further researches problems, 2) necessary computations difficulties must overcome problems. An example nonlinear, non-Gaussian problem also solved.

参考文章(1)
Yu Chi Ho, On the stochastic approximation method and optimal filtering theory Journal of Mathematical Analysis and Applications. ,vol. 6, pp. 152- 154 ,(1963) , 10.1016/0022-247X(63)90098-2