KRONECKER PRODUCTS AND THE SECOND METHOD OF LYAPUNOV

Abstract

The second method used by Lyapunov to study the stability of the trivial solution of dx/dt = Ax + f (x) leads to the problem of solving the matrix equation AX + XA' = C. It is shown that this question is related to Kronecker products and Kronecker sums, and the general problem of solving AX + XB = C is resolved in this fashion.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 29, 1957
Accession Number
AD0606306

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Equations
  • Hard Copy
  • Linear Systems
  • Microfiche
  • Photographic Materials
  • Photography

Fields of Study

  • Mathematics

Readers

  • Linear Algebra