Detection, Estimation, and Control on Group Manifolds.

Abstract

The results covered by this final report can be put in two categories - continuous-time systems and discrete-time systems. The continuous-time systems considered are bilinear in form. The bilinear systems have been extensively studied in recent years for three primary reasons. First, it has been shown that bilinear systems are feasible mathematical models for large classes of problems of practical importance. Second, bilinear systems provide higher order approximations to nonlinear systems than do linear systems. Third, bilinear systems have rich geometric and algebraic structures which promise a fruitful field of research.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1979
Accession Number
ADA077707

Entities

People

  • James T. Lo

Organizations

  • University of Maryland, Baltimore County

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Computational Science
  • Control Systems
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fourier Series
  • Information Theory
  • Linear Systems
  • Mathematical Models
  • Nonlinear Systems
  • Probability
  • Probability Distributions
  • Random Variables
  • Satellite Orientation
  • Stochastic Processes

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Theoretical Analysis.