一类NFDE全时滞渐近稳定的代数判据

The Algebraic Criterion of Asymptotic Stability with Full Delays

本文给出了一阶 n 维中立型微分方程(t)+A(t-τ)+Bx(t)+Cx(t-τ)=0 (1)全部特征根为负的充要条件(对Vτ≥0)。特别地,对 n=1.2的情形,给出了(1)之解全时滞渐近稳定的代数判据。

For neutral functional differential equations of the type (t)+A(t-τ)+Bx(t)+Cx(t-τ)=0 (1) we give the necessary and sufficient conditions for all eigenvalues of(1) being negative.EsPecially for n=1,2,we give the algebraic criterion of asy- mptotic stability with full delays.