Solving Singular Systems Using Orthogonal Functions.

Abstract

Orthogonal functions, and in particular, Walsh functions, have been advocated in the literature as a method of approximating the solutions of singular systems Ex' = Fx + Bu of index k. This paper gives the first analysis of the accuracy of these approximations. For Walsh functions, divergence is shown for k > or - 3 and convergence for k = 0,1. The index two case is also analyzed. Keywords: Singular control systems; Constant matrices; Coefficients.

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Document Details

Document Type
Technical Report
Publication Date
Oct 08, 1987
Accession Number
ADA190881

Entities

People

  • Kevin D. Yeomans
  • Stephen L. Campbell

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Coefficients
  • Computations
  • Control Systems
  • Convergence
  • Equations
  • Errors
  • Functions (Mathematics)
  • Hilbert Space
  • Linear Algebra
  • Mathematics
  • North Carolina
  • Notation
  • Security
  • Walsh Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra