DocumentCode :
829144
Title :
Stability criterion for a linear differential-difference system
Author :
Barszcz, Mafek ; Olbrot, Andrzej W.
Author_Institution :
Instytut Matematyki, Politechnika Warszawska, Warsaw, Poland
Volume :
24
Issue :
2
fYear :
1979
fDate :
4/1/1979 12:00:00 AM
Firstpage :
368
Lastpage :
369
Abstract :
A linear differential-difference system of the form 
is considered, and necessary and sufficient conditions for exponential stability with a given decay rate are derived. The conditions are given in terms of eigenvalues of the matrix A1 and extend the well-known result for the scalar case.
is considered, and necessary and sufficient conditions for exponential stability with a given decay rate are derived. The conditions are given in terms of eigenvalues of the matrix AKeywords :
Delay systems; Linear systems, time-invariant continuous-time; Stability; Asymptotic stability; Delay; Differential equations; Eigenvalues and eigenfunctions; Stability criteria; Sufficient conditions; Yttrium;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1102016
Filename :
1102016
Link To Document :
