DocumentCode :
819039
Title :
On the stability of the 
matrix inside the unit circle
matrix inside the unit circleAuthor :
Jury, E.I. ; Gutman, S. ; Jury, E. ; Gutman, S.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
20
Issue :
4
fYear :
1975
fDate :
8/1/1975 12:00:00 AM
Firstpage :
533
Lastpage :
535
Abstract :
In this short paper several theorems related to the necessary and sufficient conditions for the characteristic roots (eigenvalues) of a matrixA to lie inside the unit circle are presented. In particular, the following conditions are proved. 1) Linear combinations bi of the coefficients of λiin
Keywords :
Eigenvalues; Linear systems, time-invariant discrete-time; Matrices; Stability; Automatic control; Eigenvalues and eigenfunctions; Mechanical engineering; Stability criteria; Testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1100995
Filename :
1100995
Link To Document :
