查询词典 stable convergence

In chapter 2, we through search the stable conformers of asparagine and examine the properties of the stable conformers using ab initio and DFT methods.

第二章中我们使用从头算方法和密度泛函理论对天冬酰胺在气相中的稳定构型进行了系统的寻找。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

The second chapter discusses the stability of the continuous recurrent neural network and presents a new analysis method. The idea of the method is that"the continuous recurrent neural network is said to be absolutely stable, if it has only an asymptotic stable equilibrium point".

文中对连续回归网络的稳定性进行了研究，提出了一种新的分析方法，其基本思想在于"如果一个回归网络只有一个渐近稳定的平衡点，则网络绝对稳定"。

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时，无病平衡点是局部渐近稳定的，进一步利用巴尔巴欣公式构造Lyapunov函数，运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性，说明松材线虫病会最终消失；当临界阈值大于1时，病虫害平衡点是局部渐近稳定的。

These conditions can be used to design globally asymptotically stable and globally exponentially stable networks.

这些条件可以用于设计全局渐近稳定和全局指数稳定的神经网络。

Under the assumption of stable zero dynamics, the whole system is semi-global asymptotically stable.

最后在零动态稳定的假设下，实现了整个系统的半全局渐近稳定。

In this paper, we discuss asymptotically stable sets of graph maps and give a necessary and sufficient condition for a fixed point of f to be asymptotically stable.

在本文中，我们讨论了图映射的渐近稳定集，并给出了f的不动点为渐近稳定的一个充分必要条件。

Then the closed-loop system controlled by that controller is globally asymptotically stable and local quadratically stable.

在该控制器作用下的闭环系统，是鲁棒全局渐近稳定和局部二次稳定的。

Furthermore, the existing condition of stable controlling for another form of the system is studied and the sufficient condition of making a closed loop system asymptotically stable in local bound is also discussed.

然后，研究了另一形式的滞后离散广义双线性系统稳定控制存在的条件，并给出了使闭环系统局部渐近稳定的充分条件。

Then we define the stable distribution with four equivalent ways and analyze its properties carefully. To study the stable distribution, we must know how to simulate its random variables. We can learn it intuitively by watching its plot of density function.By adding an auxiliary variable in the Chapter 4, we estimate the four parameters using Gibbs sampler.

接着给出了稳定分布的四种等价定义方法，详细的分析了稳定分布的性质，提出如何利用简单随机数产生稳定分布的随机变量以便我们进行分析研究，借助稳定分布近似密度函数的图形我们对它的特征会有更加直观的认识。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。