滞后型泛函微分方程大系统的稳定性

Stability of Large-Scale Systems of General Functional Differential Equations

本文利用泛函微分方程的常数变易公式和Ｇｒｏｎｗａｌｌ—Ｂｅｌｌｍａｎ不等式．讨论了一般泛函微分方程大系统的渐近稳定性．得到若干简洁的稳定性判据．

The asymptotic stability of the zero solutions of the large-scale systems for the genaral functional differential equation was investigated and discused by means of the variation of constants formula and Gronwall-Bellman inequality. And some simple criteria for stability was obtained.