DocumentCode :
809974
Title :
A direct synthesis of 
in the Lyapunov equation ![Q = [A\´R + RA]](/images/tex/41.gif)
in the Lyapunov equation Author :
Wall, Edward T. ; Steward, D.
Author_Institution :
University of Colorado, Denver, CO, USA
Volume :
17
Issue :
5
fYear :
1972
fDate :
10/1/1972 12:00:00 AM
Firstpage :
726
Lastpage :
728
Abstract :
In the application of Lyapunov\´s second method to linear systems it is shown that a direct synthesis of the matrix from the system equations (in the expression ![Q = -[A\´R + RA]](/images/tex/3641.gif)
) is possible. Application to the general third-order linear system is made and the results are seen to be identical to the Routh-Hurwitz criteria.
matrix from the system equations (in the expression ) is possible. Application to the general third-order linear system is made and the results are seen to be identical to the Routh-Hurwitz criteria.Keywords :
Lyapunov matrix equations; Differential equations; Linear matrix inequalities; Linear systems; Lyapunov method; Neodymium; Symmetric matrices; Transforms; Vectors; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100107
Filename :
1100107
Link To Document :
