n阶常系数线性时滞微分方程无条件稳定的代数判据

本文给出了关于方程 (t)+sum from k-1 to n a_K (t)+sum from k-1 to n b_K X(t-τ)=0 对一切时滞τ≥0零解都是渐近稳定的一些等价的定理以及充分必要的代数判定准则。

Algebraic Criteria of Stability for All Values of the Delays of N Qrder Delay Differential Equations with Constant Coefficients

In this paper, we gave some equivalent theorems and algebraic Criteria which will be necessary and sufficient to ensure that the zero sulitions of equations (t) + sum from to n a_k (t) +sum from k-1 to n b_K (t -τ) = 0 are sfable for any delay τ≥0.