DocumentCode
819039
Title
On the stability of the
matrix inside the unit circle
Author
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