Accession Number : AD0771596

Title :   Some Estimation Problems on Lie Groups.

Descriptive Note : Interim rept.,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB

Personal Author(s) : Willsky,Alan S.

Report Date : 10 JUL 1973

Pagination or Media Count : 13

Abstract : In the paper the author considers several problems on nonabelian Lie groups. The author defines a class of bilinear stochastic systems with the aid of an extension of an injection procedure of McKean. Several associated estimation and analysis problems are formulated, and solutions are obtained for a number of special cases, including the case in which the bilinear system matrices obey certain Lie bracket relations, and also several other cases involving optimal angular velocity estimation for rigid bodies. (Author)

Descriptors :   *Groups(Mathematics), *Stochastic processes, *Estimates, Matrices(Mathematics), Transformations(Mathematics), Theorems, Control theory

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE