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Search Results: 1 - 10 of 61606 matches for " 贾荣荣? "
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不确定采样数据系统的稳定性分析
Stability Analysis of Uncertain Sampled-Data Systems
 [PDF]

, 高彩霞
Pure Mathematics (PM) , 2014, DOI: 10.12677/PM.2014.43012
Abstract:

本文主要研究了具反馈控制的线性时不变脉冲系统的稳定性问题。在过去的理论中认为,脉冲是造成系统不稳定的重要因素。在这里,我们将脉冲系统看作特殊的重置系统,继而得到,在适当的脉冲作用下,系统不但能保持原来的稳定性,甚至可以使一个原来不稳定的系统变得稳定。本文以经典的Lyapunov方法为基础,以线性矩阵不等式LMI为表达形式,给出使系统平衡点全局一致指数稳定的充分必要条件。并以此为基础,对不稳定的微分控制系统,给出使系统指数稳定的脉冲重置的设计方法及重置矩阵的形式。文章最后将结果运用到不确定的LTI采样数据系统中,并给出算例。
This paper deals with the stability of linear time-invariant impulsive system with feedback control. The pulses, at some time in the past, were the important factor causing system instability. Here, we first regard the impulsive system as a special reset system, then we analyze the stability of sampled-data system, and design reset matrices such that the uncertain sampled-data system is stable. Based on the classical Lyapunov method and linear matrix inequality LMI form, the necessary and sufficient conditions for stability are given. At last, we apply the results to the uncertain LTI sampled-data systems and illustrate a numerical example.

浅谈微课程在高校数学基础课程的创新教学中的运用
The Application of Micro-Course in the Basic Course of Mathematics in Colleges and Universities
 [PDF]

, 曹莉, 李宗学
Advances in Education (AE) , 2016, DOI: 10.12677/AE.2016.66046
Abstract:
高校数学基础课程的教学改革一直倍受关注,其教学思想、课程设置、教学内容和教学方法均需要与时俱进。随着以开放、共享为理念的网络教育资源的蓬勃发展,“微课程”已成为国内外信息化教学改革研究的热点。该文以高校数学基础课程为视角,在深入了解课程现状的基础上,结合“微课程”的特点研究并设计出合理有效的应用于高校数学基础课程的“微课程”教学模式。
The teaching reform of mathematics basic course in colleges and universities has attracted much attention, and its teaching ideas, curriculum, teaching content and teaching methods need to keep pace with the times. With the vigorous development of the open educational resources, the “micro-course” has become a hot spot in the teaching reform both at home and abroad. Based on the deep understanding of course status and the characteristics of “micro-course”, this article studies and designs the reasonable and effective micro-teaching model applied in the basic course of mathematics in colleges and universities.
由线性微分算子决定的B-样条(Ⅱ)

计算数学 , 1982,
Abstract: 本文继续1]的工作,采用的记号及定义均依照该文.为明确起见,我们把与本文有关的一些记号及结果简述如下. 设t=(t_i)_(-∞)~( ∞)是非减的实数序列,t_i
关于级数∑μ(n)/n部分和的估值

科学通报 , 1985,
Abstract: 但是他并没有给出任何证明。在1897年,von Mangoldt给出了(1)式的一个严格证明。以后,de la Vallée Poussin在1899年给出了一个简化证明,并得出了有关收敛速率的估计:
Kergin插值算子的扩张

科学通报 , 1986,
Abstract: 在1978年,Kergin(又见文献2])引入了一种对多变量光滑函数插值的新方法。这一方法是Lagrange插值的一种自然推广。现在这种插值称做Kergin插值。 我们先来引进一些记号。令R~k是k维实向量空间。对于x∈R~k,我们用x_i表示x的第i个分量。对于两个向量x及y,其内积记为x·y:=Σx_iy_i。令e~i为第i个分量为1其余分量为0的向量。对任意y∈R~k\{o},函数f的方向导数D_yf定义为
ON THE LOCAL PROPERTY OF CUBIC INTERPOLATION SPLINE
关于三次插值样条函数的局部性质


计算数学 , 1979,
Abstract: This article investigates the property of cubic interpolation spline under the ge-neral end conditions. In the case of that the local mesh ratio is less than 3+5~(1/2)]/2we obtain the local bounds of the derivative of the cubic interpolation spline, andwe have proved that when a function is locally continuous and the mesh length lo-cally converges to zero, the local convergence property of its cubic interpolationspline still holds.
B-SPLINES ASSOCIATED WITH A LINEAR DIFFERENTIAL OPERATOR
由线性微分算子决定的B-样条


计算数学 , 1982,
Abstract: This paper aims at studying the property of B-splines associated with a linear dif-ferential operator. The quasi-interpolate functional concerning sueh B-splines is cons-tructed, and thus the open problem proposed by Carl de Boor in 1976 is solved. Further-more, the construction of the local linear functional with such B-splines is given and aseries of important results concerning such B-splines is obtained.
CUBIC SPLINE INTERPOLATION AT A BIINFINITE KNOT SEQUENCE
无限多个基点上的三次样条函数插值


计算数学 , 1980,
Abstract: Schoenberg once proposed a problem on the existence and uniqueness of bo-unded cubic splines interpolating at a biinfinite knot sequence. Carl de Boor gave a sufficientcondition so that he solved part of the problem. This article made an improvment on Boor'sresult by giving a sufficient and necessary condition. Thus we have completely solved the pro-blem that Schoenberg proposed.
多元样条的B网表示

科学通报 , 1987,
Abstract: 应用B网来研究二元样条,首推Farin。在文献1]里,Farin导出了用Bézier坐标来表达二元样条函数的C′连续性条件。在文献2]里,de Boor及Hllig利用B网确定了三方向分划上的二元三次一阶光滑样条函数空间的逼近阶。 本文研究多元样条的B网表示。特别,我们导出了用B网刻划多元样条C′连续性的一个简洁的公式。
基于极限承载法的矿山铺面设计

煤炭学报 , 2008,
Abstract: 对井下无轨车辅助运输的铺面设计问题进行了研究,提出了基于极限承载理论的设计方法,给出了等效接触面积、等效接触压力、等效静轴载及铺面承载能力的简化计算公式,并引入了安全系数控制铺面破坏时的变形,求出了合理的铺面厚度.该设计方法避开了弹性模量和泊松比这2个难以量化的参数,采用容易获取的材料内摩擦角和黏聚力参数,使其更便于应用.
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