具有非局部时滞的扩散Nicholson苍蝇方程的波前解

研究了具有非局部时滞的扩散Nicholson苍蝇方程,其中时滞由一个定义在所有过去时间和整个一维空间区域上的积分卷积表示.当时滞核是强生成核时,根据线性链式技巧和几何奇异扰动理论,获得了小时滞时波前解的存在性.     

含时三次幂势系统传播子的精确解

本文应用正则变换的方法，以一般的含时不变量为正则动量，求得含时三次幂势系统传播子的精确解表达式。     

Hausdorff Dimension of Sets of Generic Points for Gibbs Measures

For a translation invariant Gibbs measure on the configuration space X of a lattice finite spin system, we consider the set X of generic points. Using a Breiman type convergence theorem on the set X of generic points of an arbitrary translation invariant probability measure on X, we evaluate the Hausdorff dimension of the set X with respect to any metric out of a wide class of scale metrics on X (including Billingsley metrics generated by Gibbs measures).     

遗传神经网络能耗预测模型在钢铁企业中的应用

为改善BP网络训练速度慢,易收敛于局部极小点及全局搜索能力弱等固有缺陷,采用遗传算法优化神经网络的初始权值和阈值,以通化钢铁公司炼铁厂为研究对象,建立了基于遗传算法的人工神经网络能耗预测模型。用MATLAB编写计算程序进行测试,并与纯BP算法进行分析比较,结果表明,文中所提出的方法在预测精度和收敛速度方面均得到了改进。     

广义向量平衡问题解的通有稳定性

本文研究广义向量平衡问题,得到了广义向量平衡问题解的一个存在性结果,证明了在满足一定条件的问题构成的空间M中,大多数(在Baire分类意义下)问题的解集是稳定的.     

On the reduction number of some graded algebras

The main result of the paper confirms, for generic coordinates, a conjecture which states that . Here is a homogeneous polynomial ideal in and and are the reduction numbers.

     

The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (an Isolated Bound State)

This paper initiates a general study of the spectrum of two-particle bound states of transfer matrices for a fairly wide class of Gibbs fields at high temperature T. In the present first part of this study, a detailed statement of the problem is given and the existence of a so-called "isolated level" lying at a distance 1/T ² from the boundary of the continuous spectrum is established for all values of the total quasimomentum of the system. In the concluding part of the paper, we prove that there are no other bound states provided that is far from certain singular values. In the second part, we will consider bound states for close to the singular values. The distance from these states (adjacent levels, in the authors' terminology) to the continuous spectrum is at most of the order of 1/T ⁴.     

仿射非线性一般模型控制的鲁棒稳定性分析

针对基于仿射非线性系统的一般模型控制(GMC)方法进行了鲁棒稳定性分析。首先证明了如果模型存在一个严格Lyapunov函数,当模型与过程的失配在一定范围内时,则过程总是Lyapunov稳定的。由此推广到采用GMC方法的闭环控制系统,在给出其显式控制律的前提下,证明了满足一定前提条件下,采用GMC的闭环控制系统总是Lya-punov稳定的。     

基于模糊模拟的遗传算法在最短路径问题中的应用

模糊最短路径问题将网络中弧的权值描述成模糊的，突破了传统最短路径问题的局限性，更符合实际网络的要求。采用模糊期望值模型求解最短路径问题，由于模糊变量隶属函数的形式多种多样，对于有些模糊变量，很难求出其具体的期望值，所以本文设计了基于模糊模拟的遗传算法进行求解，获得了良好的效果。     

时间表问题与遗传算法

通过对时间表问题和遗传算法的认识，探讨用遗传算法求解时间表问题，并给出一个实例。