Replacing the summation of random vectors by that of their high order moments and through the matrixing of 2n-order moments of given vectors by square of moments, the cumulative probability density function represented by Laguerre polynomials are obtained. 用随机矢量X、Y分量的高阶矩求和代替随机矢量求和运算,再用矩量平方换算给出矢量和的2n阶矩,得到用Laguerre多项式描述的概率密度函数。
An Adaptive Predictive Control Based on the Laguerre Function Model for Diffusion Furnace 扩散炉基于Laguerre函数模型自适应预测控制
The model of nonlinear systems of Wiener type is made up of Laguerre function networks with static BP ( SBP) networks, and also, its recursive identification algorithm is given. 采用Laguerre函数与静态BP网络相结合构成Wiener型非线性系统的模型,并给出此模型参数递推辨识算法。
A generalized form of Laguerre equation is obtained by using a transform, which can be applied directly to the eigenvalue problem of an equation satisfied by the radial function of a hydrogen-like ion, and further transformation to get the asymptotic solution of the radial equation is avoided. 利用变换得到了连带拉盖尔方程的推广形式,可以直接用在类氢离子的径向波函数所满足的方程的本征值问题上,无需利用渐近解的形式对径向方程作进一步的变换。
Typical numerical examples have been given, showing the equivalence of this method and the finite Laguerre Gauss function expansion. 给出的典型数值计算结果证实了这种方法与有限拉盖尔-高斯函数展开法是等价的。
A brief introduction is presented of adaptive predictive control based on a Laguerre function approximate model, and an extended predictive control algorithm is developed. 论文在简述基于Laguerre函数近似模型的自适应预测控制原理、算法的基础上,将现有的仅适用于开环稳定系统的预测控制算法进行扩展,提出一种增广的Laguerre函数模型自适应预测控制算法。
Multi-Variable General Predictive Self-adaptive Control Based on Laguerre Function Model 基于Laguerre函数模型的多变量广义预测自适应控制
An adaptive single predictive control algorithm based on the Laguerre function model was proposed. 给出了基于Laguerre函数模型的自适应单值预测控制算法。
This paper reported that the parent function representation of Laguerre's generalized multinomial proved the general formula of J d average value of like-ness of hydrogen atmo radial wave function in Literature ( 1) 本文用广义Laguerre多项式的母函数表达式,证得文献〔1〕中,计算ρn次幂的类氢原子径向波函数Jd平均值的通式。
Locomotive models are established according to different tractive operation ways and the k order moment by the moment compound of random variables is then calculated. The PDF ( Probability Density Function) of the load current can be fitted by the Laguerre polynomial expansion. 根据机车不同的运行方式建立机车模型,通过随机变量矩的合成求出机车电流的k阶原点矩,利用Laguerre多项式展开拟合其概率密度函数PDF(Probabilitydensityfunction)。
A method is presented to assess the harmonic current of electric locomotives using the approaching function of Laguerre polynomials. 提出利用Laguerre多项式的逼近函数进行电力机车谐波电流估计。
Predictive control for large deadtime plants based on Laguerre function model 基于Laguerre函数模型的大纯滞后系统预测控制
A increment-type predictive control algorithm of multi-variable systems based on laguerre function approximate model 基于Laguerre函数近似模型的多变量系统增量型预测控制的算法
In this paper, the electromagnetic response of multi scatterers excited by a Gaussian plane wave is calculated using simultaneous extrapolation in time and frequency domains based on Laguerre function expansion. 基于Laguerre函数展开的时、频同时外推法,分析计算了在高斯型平面波激励下多散射体的电磁响应。
Based on the Laguerre polynomials as the temporal basis function, there has not only the Galerkin testing to the spatial basis function but also to the temporal basis function, therefore the time variable is separated from the space variable completely in this method. 采用Laguerre多项式作为时间基函数时,计算过程中除了通常的对空间基函数的伽略金内积,还有对时间基函数的伽略金内积,这种方法将时间变量从计算过程中完全分离了出来。
The new method is better to analyzing the sensitive questions on accuracy such as electromagnetic interference ( EMI). The MOT scheme is also studied based on the Laguerre polynomials as the temporal basis function in this paper. 这种计算方法有利于分析电磁干扰等对精度敏感的问题。论文研究了用Laguerre多项式作为时间基函数的MOT算法。