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′(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.