延时微分方程的稳定性准则(英文)

Stability Criteria for Delay Differential Equations

对于线性延时微分方程x'（t）＝Ax(τ)＋Bx（t－τ），其中A，B∈Rd×d是常数矩阵，τ为常数延时量，本文给出了判别其稳定性的两种稳定性准则，并利用在一个环形区域边界上对一种相应的调和函数的估计来描述这两种准则．

This paper deals with the stability of the linear delay system x' (t) = Ax(t) + Bx(t - τ),where A,B ∈ Rd×d are constant matrices and τ stands for a constant delay. Two stability criteria described by evaluating a corresponding harmonic function on the boundary of a torus region are presented.