摘要
本文对一类单个常时滞系统(1)的无条件稳定性进行了讨论,获得了定理1和定理2。
In this paper, we consider a system of delay differential equations x^((n))(t)+a_1x^((n-1))(t)+…+a_(m-1)x^((n-m+1))(t)+a_mx^((n-m))(t-τ)+a_(m+1)x^((n-m-1))(t)+…+a_nx(t)=0 for a_i∈R, i=1, 2,…, n, and τ∈R_+. The Theorem 1 and Theorem 2 are obtained by analytical methods.
出处
《中国科学院研究生院学报》
CAS
CSCD
1992年第3期254-260,共7页
Journal of the Graduate School of the Chinese Academy of Sciences
关键词
时滞系统
无条件稳定
稳定性
delay differential systems, stability for all values of the delays, Hurwitz conditions, Ляпунов functional
