DocumentCode :
849084
Title :
On the determination of a diagonal solution of the Lyapunov equation
Author :
Geromel, J.C.
Author_Institution :
DEE/FEC-UNICAMP, Campinas, Brazil
Volume :
30
Issue :
4
fYear :
1985
fDate :
4/1/1985 12:00:00 AM
Firstpage :
404
Lastpage :
406
Abstract :
In this note, for a given matrix 
, the solution of the Lyapanov equation 
, considering 
diagonal or both and 
diagonal matrices, is investigated. For this purpose a simple algorithm based on nonlinear programming is presented.
, the solution of the Lyapanov equation , considering diagonal or both and diagonal matrices, is investigated. For this purpose a simple algorithm based on nonlinear programming is presented.Keywords :
Lyapunov matrix equations; Nonlinear programming; Convergence; Eigenvalues and eigenfunctions; Interconnected systems; Milling machines; Nonlinear equations; Nonlinear systems; Quadratic programming; Stability; Sufficient conditions; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1103953
Filename :
1103953
Link To Document :
