【摘要】 考虑时滞微分方程 x（t）=A（t）x（t）+B（t）x（t—τ）和 x（t）=A（t）x（t）+B（t）x（t—τ）+H(（x（t）,x（t-τ））,其中 A（t）和B（t）是n×n矩阵,关于t连续,H:R^?×R^?→R^?是非线性连续函数,是后一系统的扰动函数。本文中,对两个系统分别给出了滞后量的估计τ₀,使得当 0≤τ≤τ₀时,前系统渐近稳定,后系统在经常扰动下是稳定的。估计中运用了新的方法,因此,估计较少保守性。改进和推广了有关文献中的结果。更多还原

【Abstract】 Consider the systems of differential delay equationsX(t) = A(t)X(t)+B(t)X(t-τ),andX(t)=A(t)X(t)+B(t)X(t-τ) + H(X(t),X(t-τ)) Where A(t)and B(t) are n×n matrices, continuous with respecf to t, H :Rn×Ra→Rn is a nonlinear continuous function, a disturbing function of two. In the paper, the estimates TO of the delays the first system is asymptotically stable, the second system is stable unaer constantly disturbing. Some new methods are used in the estimates so that the estimates are less conservative, the resultsin some references are improved and generalized.更多还原