Accession Number:

AD0606306

Title:

KRONECKER PRODUCTS AND THE SECOND METHOD OF LYAPUNOV

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1957-05-29

Pagination or Media Count:

9.0

Abstract:

The second method used by Lyapunov to study the stability of the trivial solution of dxdt 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE