Reducibility of Matrix Equations Containing Several Parameters.

Abstract

Two methods of reducing state matrix equations containing several parameters are presented in this thesis. Pursuant to the first method, the solutions, obtained by iterative and non-iterative methods, of the algebraic Riccati matrix equation and Lyapunov matrix equation are relied upon heavily. The second method hinges on an equivalence transformation to a Smith form, coupled with the notion of zeros of a matrix. Main results focus on the two parameter case but can be extended to any number of parameters. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA115568

Entities

People

  • Charles A. Lew

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Boltzmann Equation
  • Boundary Value Problems
  • Complex Numbers
  • Consistency
  • Differential Equations
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Equations
  • Formulas (Mathematics)
  • Multiplication Factor
  • Numbers
  • Power Series
  • Riccati Equation
  • Systems Science

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.