Some Estimation Problems on Lie Groups.

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 10, 1973
Accession Number
AD0771596

Entities

People

  • Alan S. Willsky

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Differential Geometry
  • Geometry
  • Lie Groups
  • Mathematics
  • Motion
  • Nonlinear Systems

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.