稳定性

We applied the method based on certain energy estimates to prove the convergence and stability of the scheme in energy norm and maximum norm.

我们利用能量分析法证明了C-N格式在能量模和最大模意义下的收敛性和稳定性；通过矩阵分析和对广义特征值的估计得到离散L_2模意义下的收敛性和稳定性。

From finite difference equation of unsteady-state heat conduction ,according to vonNeumann method about scheme stability,the explicit scheme stability condition of two dimension computational heat conduction was given.

从非稳态导热的离散方程出发，根据VonNeumann的格式稳定性判别方法，给出二维导热数值计算显式格式的稳定性条件。

On the basis of energy function, the stability and convergence of the proposed neural network are analyzed, which guarantee the global stability of the equilibrium point of neural network.

此外，利用能量函数对神经网络的稳定性和收敛性进行了分析，进而保证所提出的神经网络具有全局稳定性。

According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

Also the problems of stochastic controllability, observability and stability of the filter are studied, a simple observability criterion for the time-invariant systems is set up, error band of the filtering is given theoretically, and the filtering stability results are proved under more general conditions; besides, the filtering error caused by uncorrect mathematical models is analysed.

本文还研究了随机能控能观性及滤波的稳定性问题，建立了结构简单的平稳定常系统的能观性判据，在理论上给出了滤波算法的误差范围，在更一般的条件下证明了最优滤波算法的稳定性；并从理论上分析了模型误差对滤波产生的影响。

When applying that program to a real case, we could obtain a more accurate result, which was accord with the actual conditions and had smaller error of safety coefficient.

通过将该边坡稳定性评价程序应用于边坡实例的稳定性评价分析，得到的边坡状态与实际相符，准确度较高，用于计算边坡的安全系数误差较小。

According to the Lyapunov stability theory, the weight update law of neural network, the adaptive law of error bound and the feedback control are obtained, thus the stability of closed-loop control system is ensured.

基于Lyapunov稳定性理论，得到了神经网络的权值更新律、误差界自适应律及反馈控制律，确保了闭环控制系统的稳定性。

According to the Lyapunov stability theory, the weight update law of neural network, the adaptive law of error bound, the stabilizing function and the control are obtained, thus the stability of closed-loop control system is ensured.

基于Lyapunov稳定性理论，得到了神经网络的权值更新律、误差界自适应律、稳定函数及控制律，确保了闭环控制系统的稳定性。

CD was used to monitor changes of the mutant esterase secondary structure upon heating.

所以对两种酶的热稳定性及变性剂稳定性的研究主要集中在酶活性和三级结构的变化关系上。

There was no enough evidence to prove the allelopathic effects in eucalypt trees.(4) The effect of eucalypt on ecosystem stability of the soil was caused b

桉树对土壤生态稳定性的影响受客观条件和人为经营共同决定的，桉树本身并不是导致土壤生态稳定性降低的主要原因。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。