DocumentCode :
839202
Title :
A solution of the unit circle problem via Schwarz canonical form
Author :
Datta, Biswa Nath
Author_Institution :
Northern Illinois University, De Kalb, IL, USA
Volume :
27
Issue :
3
fYear :
1982
fDate :
6/1/1982 12:00:00 AM
Firstpage :
698
Lastpage :
700
Abstract :
The unit circle problem is the problem of finding the number of eigenvalues of a matrix A inside and outside the unit circle. It is associated with stability analysis of the system x_{k+1} = Ax_{k} . An algorithm is developed in this paper to solve the problem via Schwarz canonical form.
Keywords :
Eigenvalues/eigenvectors; Matrices; Control systems; Eigenvalues and eigenfunctions; Integral equations; Matrix decomposition; Open loop systems; Riccati equations; Stability analysis;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1102990
Filename :
1102990
Link To Document :
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