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1)  almost sure exponential stability
几乎必然指数稳定
1.
A method to divide the state space into sub-domains adopted to study almost sure exponential stability over the cellular neural networks under noise environment.
基于细胞神经网络输出函数饱和线性特性,采用分割状态空间为若干子区域的方法,对处于噪声环境下的细胞神经网络的几乎必然指数稳定性进行了分析。
2.
Some sufficient conditions for the 2-th moment exponential stability and almost sure exponential stability are established.
在现有文献的基础上,对一类马尔可夫调制的随机微分方程进行了研究,得到了其平凡解2阶均值指数稳定性和几乎必然指数稳定性的充分条件,对现有成果进行了改进。
2)  almost sure exponential stability
几乎必然指数稳定性
1.
The problems of p-Moment exponential stability and almost sure exponential stability of nonlinear stochastic impulsive systems with Markovian switching are studied.
研究了具有Markov跳变的随机脉冲系统的p阶矩指数稳定性和几乎必然指数稳定性。
2.
In view of the character of saturation of output functions of the cellular neural networks, the method decomposing the state to sub-regions is adopted to study almost sure exponential stability on a class delayed cellular neural networks which are in the noised environment.
依据细胞神经网络的输出函数的饱和线性特征,将状态空间分解成子区域来研究一类延时细胞神经网络在噪声环境下的几乎必然指数稳定性。
3.
Some algebraic criterion of almost sure exponential stability are obtained when the disturbance term of the network satisfies the Lipschitz condition.
依据细胞神经网络的输出函数特征,将状态空间分解成子区域,研究了一类随机延时细胞神经网络在噪声环境下的几乎必然指数稳定性。
3)  almost surely exponential stability
几乎必然指数稳定性
1.
By constructing the new Lyapunov function,some sufficient conditions are obtained and prooved for p-moment exponential stability and almost surely exponential stability.
通过构造新的Lyapunov函数,并利用矩阵范数的定义和性质,在Markov调制的随机微分方程的指数稳定性基础上,建立了Markov调制的奇异随机微分方程的p阶指数稳定性和几乎必然指数稳定性的条件并予以证明。
2.
We have given the comparision criterions of exponential stability,exponential P-stability and almost surely exponential stability,these comparision criterions generalize the corresponding results of Mevel son and Has minskiǐ in [1].
给出了随机指数稳定性、指数P-稳定性、几乎必然指数稳定性的比较准则,这些比较准则推广了Nevel’son和Has’minskiǐ的相应结果。
4)  almost sure strong stability
几乎必然强稳定
1.
Based on the matrices, almost sure strong stability with respect to partial variables in It stochastic linear system was studied.
运用随机线性系统的柯西矩阵及其截断矩阵 ,通过引进随机线性系统左截柯西矩阵和右截柯西矩阵 ,讨论了线性It^o随机系统部分变元的几乎必然强稳定性 ,得出了该系统只依赖于左截柯西矩阵的有界性和右截柯西矩阵的渐近性的各种a 。
5)  Almost sure stability
几乎必然稳定
1.
Almost sure stability of switched stochastic systems with impulsive effects
具有脉冲效应的切换随机系统的几乎必然稳定性
6)  Ito's frmula
几乎必然Lyapunov指数
补充资料:必然王国与自由王国(见必然与自由)


必然王国与自由王国(见必然与自由)
realm of necessity and realm of freedom

  of口1 Iun Wongg口0 yU ZlyQU wangguo必然王国与自由王国(realmandrealm of freedom)necessity见必然与自由。
  
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