Research Article
Stability Conditions of a Class of Linear Retarded Differential Systems
Abstract
In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of a linear retarded differential system with two delays
x”²(t)+(1-a)x(t)+A(x(t-k)+x(t-l))=0, t≥0,
where a<1 is a real number, A is a 2×2 real constant matrix, and k, l are positive numbers such that k>l.
How to Cite
S. U. Deger, Y. Bolat, Stability Conditions of a Class of Linear Retarded Differential Systems, Int. J. Anal. Appl. 16 (2018), 454–461. https://doi.org/10.28924/2291-8639-16-2018-454
BibTeX
@article{Deger2018,
author = {Deger, Serbun Ufuk and Bolat, Yasar},
title = {Stability Conditions of a Class of Linear Retarded Differential Systems},
journal = {Int. J. Anal. Appl.},
volume = {16},
year = {2018},
pages = {454--461},
doi = {10.28924/2291-8639-16-2018-454}
}References
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