DocumentCode :
820599
Title :
Simplification of certain linear matrix equations
Author :
Barnett, Stephen
Author_Institution :
University of Bradford, Bradford, West Yorks, England
Volume :
21
Issue :
1
fYear :
1976
fDate :
2/1/1976 12:00:00 AM
Firstpage :
115
Lastpage :
116
Abstract :
It is shown that in solving the equation \\Sigma \\alpha _{ij}(A^{T})^{i}PA^{j} = Q for the symmetric matrix P the number of linear equations and unknowns call be reduced from frac{1}{2} n(n + 1) to frac{1}{2} n(n-1) by introducing a skew symmetric matrix. This generalizes earlier results for Lyapunov matrix equations.
Keywords :
Matrix equations; Equations; Linear systems; Stability; Symmetric matrices; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1976.1101150
Filename :
1101150
Link To Document :
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