DocumentCode :
844468
Title :
Root clustering of a real matrix in a sector
Author :
Gutman, Shaul ; Vaisberg, Favel
Author_Institution :
Technion-Israel Institute of Technology, Haifa, Israel
Volume :
29
Issue :
3
fYear :
1984
fDate :
3/1/1984 12:00:00 AM
Firstpage :
251
Lastpage :
253
Abstract :
We prove that a real matrix 
has all its eigenvalues in the left sector if and only if the polynomial det [ 
] is Hurwitz where δ is the sector\´s slope.
has all its eigenvalues in the left sector if and only if the polynomial det [ ] is Hurwitz where δ is the sector\´s slope.Keywords :
Eigenvalues/eigenvectors; Damping; Eigenvalues and eigenfunctions; Equations; Feedback; Mechanical engineering; Polynomials; Stability;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103495
Filename :
1103495
Link To Document :
