RECURSIVE ALGORITHM FOR THE BEST APPROXIMATE SOLUTION OF LINEAR EQUATIONS WITH APPLICATIONS TO SYSTEM IDENTIFICATION AND STATE ESTIMATION.

Abstract

The sequential solution, in recursive form, of a growing set of linear equations, based upon the least-square-error and a weighted least-square-error criterion, are developed. For comparison these results are applied to the discrete-time solution of several estimation and identification problems. Recursive algorithms for pseudo inversion and the best approximate solution of a set of linear equations are included. Finally, efficient state estimation procedures for time-invariant systems using a sliding-window observer are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0701672

Entities

People

  • Manfred Hermann Fritz Werther

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Equations
  • Identification
  • Inversion

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Information Retrieval
  • Linear Algebra
  • Statistical inference.