DocumentCode
809974
Title
A direct synthesis of 
in the Lyapunov equation ![Q = [A\´R + RA]](/images/tex/41.gif)
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
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