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Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers.

基于模糊值函数的研究,利用模糊数的度量以及模糊数的绝对值概念,讨论了模糊值函数级数绝对一致收敛性,给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

Convergence of the test results shows that the economy does not have absolute convergence of the economic characteristics, but this shows the characteristics of condition convergence; Human capital investment rate in the regional economic model have shown significant positive effects that is a notable convergence of factors of affecting the regional economy. On the three core areas of the club convergence test shows that within the three core areas still exist absolute convergence trend, but including human capital expansion of the Solow model the test results have all shown significant convergence of the regional club.

3收敛性的计量检验结果说明,浙江区域经济不存在绝对收敛的经济特征,但表现出显著的条件收敛性特征;人力资本投资、教育和健康形式的人力资本积累均有利于提高区域经济增长,且对区域经济收敛性具有促进作用,这种效应在浙江区域经济中已表现出显著性效应,是影响区域经济收敛的一个显著因素;对三大核心区的俱乐部收敛性检验说明,三大核心区内部仍不存在绝对收敛趋势,但包括人力资本的扩展Solow模型的检验结果却均表现出显著的地区俱乐部收敛性。

In 1947,Hus and Robbin defined the complete convergence,which is stronger than almost everywhere convergence.

Hus和Robbin于1947年提出了完全收敛性的概念,完全收敛比几乎处处收敛更强。

In 1947, Hus and Robbin defined the complete convergence, which is stronger than almost everywhere convergence.

Hus和Robbin于1947年提出了完全收敛性的概念,完全收敛比几乎处处收敛条件更严格。

In chapter 1, we discuss several iterative methods and their convergence conditions. While, we also present the techniques in proving the convergence theorem.

第一章,主要对几种迭代法的收敛性进行了讨论,总结了它们的收敛条件及证明各种迭代法收敛性的技巧。

College of Guandong Business, Guanzhou 510320, China)Abstract: Since large-scale vertical quench furnace is voluminous, whose working condition is a typically complex process with distributed parameter, nonlinear, multi-inputs/multi-outputs, close coupled variables, etc, dynamically decoupling control algorithm of temperature distributed parameter system in the furnace was presented, by which the whole system was decoupled to several subsystems and the implementation of controller was simplified. With finite difference approximation, the space and time step size was solved to ensure the convergency of finite difference approximation. After decoupling, the subsystems were controlled with self-learning PID control algorithm. The results show that the temperature control precision and homogeneity are improved; the overshoot and process in temperature rising period are reduced simultaneity.

摘 要:针对大型立式淬火炉体积庞大,工况复杂,炉内温度分布呈本征非均匀性,具有多输入/多输出、非线性、强耦合等特性,难以实现炉内温度高精度高均匀性控制目标等问题,提出一种温度分布参数系统动态解耦控制算法,其原理是:采用有限维逼近方法将对象解耦为多个独立的子系统,简化控制器的实现过程;通过分析有限维逼近方法的收敛性,获得保证收敛性的空间和时间步长应满足的条件;解耦后的子系统采用自学习PID控制算法,实现炉内温度高精度和高均匀性控制以及升温过程的快速性和小超调。

By means of the Hausdorff-Young inequality of convolution integral, the convergence of the updating rule is analyzed in the sense of Lebesgue-p norm. Invention of the nonlinearity and the interaction on convergence are discussed.

通过卷积的 Hausdorff-Young 不等式,本文分析了学习控制律在 Lebesgue-P 范数意义下的收敛性,讨论了系统的非线性性和关联性对控制律收敛性的影响。

This is 1 the firstsharp uniform convergence result for linear transport equations in di?usive regime, aproblem that involves both transport and di?usive scales; and 2 the first uniform con-vergence valid up to the boundary even if the boundary layers exist.

这是对线性输运方程已知的第一个在扩散域中和输运扩散同时存在时具有高阶一致收敛性的算法,同时也是第一个一致收敛性在边界层也成立的算法。

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容,在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题,利用线性约束问题边界点的任意方向在边界上的投影都是可行方向,而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想,自从Rosen提出该方法以后,对它的收敛性问题不少人进行了研究,但一般都是对算法作出某些修正后才能证明其收敛的,直到最近对Rosen算法本身的收敛性的证明才予以解决。

Then, the convergence and convergence rate of three kinds of GA above are analyzed comprehensively from the point of view of stochastic matrix and matrix eigenvalue. The general convergence analysis methods of GA by Markov chains are presented and the convergence rates are discussed emphatically.

然后,利用有限Markov链从随机矩阵和矩阵特征值两个角度全面分析了上述三种类型GA的收敛性和收敛速度,给出了利用Markov链分析GA收敛性的通用方法,重点讨论了它们的收敛速度问题。

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