DocumentCode :
817978
Title :
Comments on "An analytic solution for an algebraic matrix Riccati equation"
Author :
Bierman, G.
Author_Institution :
California Institute of Technology, Pasadena, CA, USA
Volume :
20
Issue :
2
fYear :
1975
fDate :
4/1/1975 12:00:00 AM
Firstpage :
300
Lastpage :
301
Abstract :
In a recent paper by Shubert an analytic solution to a special class of Riccati quadratic matrix equations was proposed. The solution given there, based on completing the square, involves m = n(n-1)/2 parameters that are somewhat ambiguously defined. In this correspondence we point out that the ambiguity can be reduced by introducing orthogonal transformations. However, the form that the solution takes reveals that only a very restricted class of problems can be solved by the analytic method of the reference.
Keywords :
Eigenvalues and eigenfunctions; Linear algebra; Riccati equations; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1100890
Filename :
1100890
Link To Document :
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