On the determination of a diagonal solution of the Lyapunov equation

1 April 1985

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 30 (4) , 404-406
https://doi.org/10.1109/tac.1985.1103953

Abstract

In this note, for a given matrix A , the solution of the Lyapanov equation A'P+ PA + Q = 0 , considering P diagonal or both P and Q diagonal matrices, is investigated. For this purpose a simple algorithm based on nonlinear programming is presented.

Keywords

NONLINEAR EQUATIONS
SUFFICIENT CONDITIONS
STABILITY
INTERCONNECTED SYSTEMS
NONLINEAR SYSTEMS
VECTORS
CONVERGENCE
QUADRATIC PROGRAMMING
EIGENVALUES AND EIGENFUNCTIONS
MILLING MACHINES

This publication has 1 reference indexed in Scilit:

Stability criteria for large-scale systems
IEEE Transactions on Automatic Control, 1978