1) the first-order asymptotic stability
一阶渐近稳定性
1.
The paper investigats the first-order asymptotic stability of upper righthand triangular bilinear time series models , where is an independent random variables sequence with E.
本文研究右上角双线性时间序列模型：的一阶渐近稳定性，其中｛ｅｔ｝是独立随机序列，且Ｅ＜＋，Ｅ（ｅｔ）＝Ｅ（ｅ３ｔ）＝０，Ｅ（ｅ２ｔ）＝。
2) uniformly asymptotic stability
一致渐近稳定性
1.
Some concise stability criterions for uniformly asymptotic stability of the zero solution of this systems are obtained by using Razumikhin technical and the related theorem of stability.
文章讨论了一类变系数变时滞微分系统的一致渐近稳定性,利用拉兹密辛型条件及稳定性的有关理论,得到了该系统零解的一致渐近稳定性的简明判据。
2.
By using Liapunov functionals and the modified Razumikhin technique,the uniformly asymptotic stability of zero solution of impulsive infinite delay differential equations is discussed.
利用Liapunov泛函和改进的Razumikhin技巧讨论了脉冲无限时滞微分方程零解的一致渐近稳定性,推广和改进了已有文献的结果。
3) uniform asymptotic stability
一致渐近稳定性
1.
By using these theorems, one can assert the uniform stability, uniform asymptotic stability, uniform boundedness and uniform ultimate boundedness of the delay difference systems if the corresponding properties of the solution of the relevant ordinary difference equation are known.
利用这些定理，由无时滞差分方程的一致稳定性、一致渐近稳定性、一致有界性及一致最终有界性等性质可以判定有限时滞差分系统的相应的性质。
4) asymptotic stability
一致渐近稳定性
1.
The paper has studied the functional response of the nonautonomous Holling Ⅱ has the n-dimensional and cyclic predator-prey system of periodic coefficient,obtained boundedness of the system solution,and the sufficient conditions for the existence of uniquity and uniformly asymptotic stability of the positive periodic solution.
研究了非自治HollingⅡ功能反应具有周期系数的n维顺环捕食系统,得出此系统的解的有界性,正周期解的存在唯一性和一致渐近稳定性的充分条件。
2.
Solvability and asymptotic stabilityof linear discrete periodic singular systems;
在此基础上,定义了线性离散变系数奇异系统的一致渐近稳定性,并通过增加系统维数把线性离散周期奇异系统转化为线性定常奇异系统,从而得到了线性离散周期奇异系统可解和一致渐近稳定的充要条件。
5) Asymptotically uniformly stability
渐近一致稳定性
6) Asymptotical stability
渐近稳定性
1.
Criteria on asymptotical stability of Cohen-Grossberg neural networks with continuously distributed time-delay
连续分布时滞Cohen-Grossberg神经网络渐近稳定性准则
2.
n this paper, some necessary and sufficient conditions of asymptotical stability of linear singular systems are presented, and some asymptotical stability criterions are given according to the equivalent systems and the equivalent transforms, and the regularity, attractivity and free_impulse of linear singular systems are considered.
在对广义线性系统正则性、吸引性和无脉冲性研究的基础上，提出广义线性系统平衡态渐近稳定的几个充分必要条件，给出了根据等价系统和等价变换判别广义线性系统渐近稳定性的几个准则，并用具体例子说明了这些准则的应用。
3.
The problem of the globally asymptotical stability of recurrent neural networks with time varying delay is investigated.
研究了带时变时滞的递归神经网络的全局渐近稳定性。
补充资料：渐近稳定解
渐近稳定解
asymptotically - stable solution
渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜，ee姗ycro曲，栅e peoe“。el 一个微分方程组的解，它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability))，并且吸引具有足够接近的初始值的一切其他解.例如，考虑方程组 卒二f(r.，、‘。 a了J、右边的函数f(:，考)对于一切:):，考任R”有定义，并使得方程组(*)的解存在而且是唯一的.这时，方程组(*)的解 x(;，乱)，x(:，乱)=老。是渐近稳定解，如果这个解同一切与其足够接近的解 x(:，句，}若一蜀}
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条