1) quasi-uniform asymptotically stable
拟一致渐近稳定
2) uniformly asymptotic stability
一致渐近稳定
1.
Sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the nonliear nonautonomous delay difference equations are obtained.
得到了一类非线性非自治时滞差分方程的零解一致稳定及一致渐近稳定的充分条
2.
Sufficient conditions for the uniform stability,uniformly asymptotic stability and globally asymptotic stability of the zero solution of the nonlinear nonautonomous delay difference equations are obtained.
得到了一类线性非自治时滞差分方程的零解的一致稳定、一致渐近稳定和全局渐近稳定的充分条件。
3.
This paper improves theorem 5 in paper , which is on the uniformly asymptotic stability of functional equation with infinite delays.
改进了文 [1 ]关于无穷时滞泛函微分方程零解一致渐近稳定的定理 5 ,所得结果包含了这一定理及文 [2 ]的定理 2 。
3) 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。
4) uniform asymptotic stability
一致渐近稳定
1.
Uniform Asymptotic Stability of Quasi-Linear Impulsive Hybrid Systems;
拟线性脉冲系统的一致渐近稳定性
2.
In this paper, we introduce a new concept of weak stability, uniform stability and uniform asymptotic stability about time-varying interval matrix, the sufficient conditions of these stability about time-varying interval matrices and time-varying interval matrices decomposed are obtained by means of Waze wski s inequality and matrix measure.
引进时变区间矩阵弱稳定、一致稳定、一致渐近稳定的概念 ,利用Wazewski不等式和矩阵测度给出了时变区间矩阵和具分解的时变区间矩阵关于上述稳定性的判别准
3.
That is,under certain conditions one can not only confirm the uniform stability and uniform asymptotic stability of the zero solution,but also estimate the corresponding stability region and asymptotic stability region.
初步建立了二次式时滞差分系统定量的稳定性理论，即在一定的条件下，不仅可以断言零解的一致稳定性和一致渐近稳定性，且可以估计出相应的稳定区域和渐近稳定区域。
5) 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。
6) uniformly asymptotically stable
一致渐近稳定
1.
By the method of constructing a suitable Liapunov function,the authors investigate the Lotka-Volterra n-species mixed system,and present an existence and uniqueness theorem of uniformly asymptotically stable almost periodic solution.
通过构造Liapunov函数,作者研究了一类n种群Lotka-Volterra混合系统,得出了该系统存在唯一的一致渐近稳定的正概周期解的充分条件。
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