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231.
232.
一种高精度的多单元传动同步控制方法 总被引:2,自引:1,他引:2
施火泉 《江南大学学报(自然科学版)》2002,1(3):244-245
成组拖动是传动控制系统的一种主要形式 .讨论了传统的模拟式同步控制系统及其局限性 ,引出了一种数字式同步控制系统 ,介绍了数字式同步控制器的原理和特点 .采用旋转编码器 ,在单元间引入一种数字转速偏差反馈 ,可以大大提高转速同步控制精度 . 相似文献
233.
Ting‐Bin Cao 《Mathematische Nachrichten》2014,287(5-6):530-545
In this paper, we obtain difference analogues of the second main theorem for meromorphic functions in several complex variables from which difference analogues of Picard‐type theorems are also obtained. Our results are improvements or extensions of some recent results of papers [Proc. Royal Soc. Edinburgh Section A Math. 137 , 457–474 (2007); Comput. Meth. Funct. Theor. 12 , No. 1, 343–361 (2012)]. The method we used is very different from theirs. 相似文献
234.
The present work is an extension of our previous works , and which dealt with first order (both in time and space) and second order time accurate (second order in time and first order in space) implicit finite volume schemes for parabolic equations. We aim in this work (and some forthcoming studies) at getting higher order (both in time and space) finite volume approximations for the exact solution of parabolic equations using the class of spatial generic meshes introduced recently in [13]. We focus in the present contribution on the one dimensional heat equation and its implicit finite volume scheme described in [3]. The implicit finite volume scheme approximating the one dimensional heat equation we consider (hereafter referred to as the basic finite volume scheme) yields linear systems to be solved successively. The matrices involved in these linear systems are tridiagonal. The finite volume approximate solution is of order h+k, where h (resp. k ) is the mesh size of the spatial (resp. time) discretization. We construct a new finite volume approximation of order (h+k)2 in several discrete norms which allows us to get approximations of order two for the exact solution and its first derivatives. This new high-order approximation can be computed using the same linear systems involved in the basic finite volume scheme while the right hand sides are corrected. The construction of these right hand sides includes the approximations of the second, third, and fourth spatial derivatives of the exact solution. The computation of the approximation of these high-order derivatives can be performed using the same matrices stated above with another two tridiagonal matrices. The manner by which this new high-order approximation is constructed can be repeated to compute successively finite volume approximations of arbitrary order using the same matrices stated above. These high-order approximations can be obtained on any one dimensional admissible finite volume mesh in the sense of [12] without any restrictive condition on the spatial mesh. A full analysis for the stated theoretical results as well as some numerical examples supporting the theory is presented. The results obtained in the present study are based essentially on two facts. The first fact is the use of the results provided in [3] which state the convergence order of the finite volume approximate solution in several norms. The second fact is the comparison between the stated new higher order approximations and suitable auxiliary finite volume approximations. 相似文献
235.
将凸函数的概念推广到多元函数,并在有二阶连续偏导数的条件下得到了判定函数为凸函数的一个充分条件,同时证明了蕴含这个条件的一个更广泛的不等式。 相似文献
236.
237.
研究了函数方程f(x—y)+f(x+y)=2f(x)f(y)有界连续解,其中f(x)为R^n→R的有界连续函数;证明了f(x)必为如下形式的三角函数f(x1,x2,…,xn)=COS(k1x1+k2x2+…+knxn),其中k1,k2,L,kn常数。该结论证明了满足上述方程的函数一定为三角余弦函数,也即给出了三角余弦函数的一种方程形式的刻画。 相似文献
238.
A classical theorem on algebraicity in separate variables is generalized and proved. Translated fromMatematicheskie Zametki, Vol. 68, No. 2, pp. 294–302, August, 2000. 相似文献
239.
研究了广义特征问题中特征值和不变特征子空间对参数的导数,利用隐函数定理证明了亏损广义特征值问题的平均特征值对参数的解析性,并利用标准特征值的灵敏度分析得到了可约化广义亏损特征值的平均值和相应的不变子空间对参数的导数.这一结果在结构优化、模型修正、以及故障诊断等领域中有着重要应用,为工程计算提供了理论依据. 相似文献