明了

At the same time the astringency of the variable structure analysis method is proved in theory.

同时，在理论上证明了这种变结构分析方法的收敛性。

A case studying of designing the key parts of an astronomic telescope modeled with extended DSM is presented, showing the approach is practicable and valuable.

最后以某天文望远镜的关键部件的实例设计过程为例，说明了该方法的可行性和实用性。

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。

By the method in this paper,for deciding the global asymptotic stability of the equilibrium point,it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

与目前该问题所采用的LIYAPUNOV直接法相比，该方法具有无须判断平衡点的唯一性，判别方程直接明了等优点，电路维数越大时，本文的方法越有其优势。

Joint asymptotic distributions of exceedances point process and partial sum of stationary Gaussian sequence

主要讨论了一类平稳高斯序列的超过数点过程与部分和的联合极限分布，同时说明了极值与部分和是渐近独立的。

This dissertation shows each unstable asymptotic equilibrium point is just the pattern that refuses to be recognized by combining the idea about constraint and projection with the continuous network LSSM and the discrete network BSB, eliminates some shortcomings of LSSM and BSB in the distribution of attraction domain. LSSM and BSB are then improved to be ideal associative memory and can be implemented by circuit.

将约束投影思想与连续神经网络LSSM和离散神经网络BSB相结合，说明了不渐近稳定的平衡点恰是实际中拒识模式，根除了LSSM和BSB在吸引域分布等方面的一些缺点，将它们完善成为理想的联想记忆器，并且它可用电路实现。

By sampling from the traffic flow and averaging non-overlapping blocks of size m from the original series, the variance asymptotic characteristic of the averaged series is obtained, from which this method shows that the splitting, assembling and merging process of the convergence mechanism will not change the Hurst parmeter of the traffic if the queue length of assemble buffer has a finite second-order moment.

在分析光突发交换边缘结点汇聚机制的基础上，提出了一种基于方差时间图的分析方法，利用"时间离散"和"尺度聚集"的思想，通过构造不同聚集级别m的聚集序列，分析得出业务流时间聚集序列的方差渐近性，从理论上证明了在组装器队长具有有限二阶矩的条件下，汇聚机制的分解、组装和合并过程不会改变业务流的Hurst参数。

Global asymptotic stability of the closed-loop system has been proved.

从理论上证明了闭环系统的全局渐近稳定性。

Simulation results show the validity and practicability of the criteria for asymptotic stability.

最后，通过仿真说明了结论的有效性和实用性。

Kulldorf'book(1961)sysmatically studied the MLE of the location and scale pa-rameters belonging to the exponential family,Kulldorf proved that the MLE wasconsistent and has asymptotically normal distribution.

Kull-dorf（1961）在所著的书里系统地研究了如何利用分组数据求指数分布族的位置参数与尺度参数的最大似然估计，并且证明了MLE的相合性与渐近正态性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。