1) global asymptotic stability
大范围一致渐近稳定
1.
The global asymptotic stability of one kind of difference equations with variable coefficients;
一类变系数差分方程组的大范围一致渐近稳定性
2) globally uniformly asymptotic stability
大范围一致渐近稳定性
1.
With the aid of Lyapunov functions,this paper presents a series criteria about the globally uniformly asymptotic stability of second order differenc equations with variable coefficents.
在差分方程中用类比法构造李雅普诺夫函数,对于二阶变系数差分方程的大范围一致渐近稳定性,给出了一系列判定定理,所得的结果推广了Jury判据。
3) Global asymptotic stability
大范围渐近稳定性
1.
This paper presents a kind of neural network models for solving quadratic minimax problems with constraints, and shows its global asymptotic stability by using LaSalle invariant principle.
本文提出一种求解约束二次Minimax问题的神经网络模型 ,给出了它的Lyapunov能量函数 ,运用LaSalle不变性原理证明了它的大范围渐近稳定性 ,作为应用考察了L1范数极小化问题 。
4) stochastic asymptotically stability in the large
大范围随机渐近稳定性
1.
This article discusses the solution s stochastic stability and stochastic asymptotically stability in the large of some linear volterra stochastic integral equation,and gives the criteria of two stabilities by a transpormation.
讨论了一类线性Volterra型随机积分方程解的随机稳定性及大范围随机渐近稳定性,利用一个变换得到了该类方程解的两种稳定性的判据。
5) 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 。
6) 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。
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