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laguerre函数
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  laguerre function
     An Adaptive Predictive Control Algorithm Based on the Laguerre Function Approximate Model
     基于Laguerre函数模型的预测控制算法
短句来源
     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
短句来源
     In this paper,we propose a united weighted Landaus type inequality for classical orthogonal polynomials Q_n(x),Q_n(x) can be Hermite function H_n(x),generalized Laguerre function L~((s))_n(x)(s>-1),or Jacobi function P~((α,β))_n(x)(α,β>-1).
     对于一类经典的正交多项式Qn(x):这个多项式可以是Hermite函数Hn(x),也可以是广义的Laguerre函数L(ns)(x)(s>-1),或者是Jacobi多项式P(nα,)β(x)(α,β>-1),给出了统一的加权Landau s型不等式;
短句来源
     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
短句来源
     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La guerre函数模型自适应预测控制算法 .
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  laguerre functions
     In the algorithm,Laguerre functions are used to describe the control signals from the dynamic linear section of Wiener model,and the optimization solutions of the future control input sequences in predictive control are converted into the optimization of a set of immemorial Laguerre coefficients within prediction horizon in order to reduce the computation burden in optimization.
     该算法利用Laguerre函数描述Wiener模型动态线性部分的控制信号,将预测控制中在预测时域内优化求解未来控制输入序列转化为优化求解一组无记忆的Laguerre系数,以减少优化所需的计算量.
短句来源
     We first introduce the Gauss-type interpolations using a new family of generalized Laguerre functions, and establish the basic approximation results.
     首先,我们介绍了广义Laguerre多项式逼近的一些基本结果。 在第三章,我们建立了广义Laguerre函数插值逼近的一些基本结果。
短句来源
     Firstly, we recall some basic properties of generalized Laguerre polynomials and establish some basic approximation results of generalized Laguerre functions.
     首先,我们在第二章中简要介绍了广义Laguerre多项式和广义Laguerre函数的一些基本性质,同时建立了广义Laguerre函数逼近的一些基本结果。
短句来源
     In this paper, a new predictive control scheme for Wiener type nonlinear systems based on Laguerre functions model and RBF neural networks model is presented. The combined model has advantages of both Laguerre functions model and RBF neural networks model, and has a good control for the system with changes in time delay, order and structure of nonlinear system.
     针对 Wiener型非线性系统 ,本文提出了一种基于 L aguerre函数模型与 RBF神经网络模型的组合模型的预测控制策略 ,研究结果表明该组合模型兼具两者的优点 ,适用范围广 ,对系统变时延 ,变阶次及变非线性都具有良好的控制效果
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  “laguerre函数”译为未确定词的双语例句
     The matrix elements of potentials and the involved hyperangle functions are analyticallyexpressible in the linear combination of Saalschutzian hypergeometry function, 4F3(A, B, C, D ;E,F, C ; 1 ).
     再利用广义Laguerre函数展开法对其求解,从而得到一广义能量本征方程,给出了库仑势及有关超球角函数在非对称九维超球谐之间矩阵元的简单解析式,可由一起几何函数4F3:(A,B,C,D;E,F,G;1)的线性组合表示。
短句来源
     The result shows that the method presented here is an effective improvement on the HH-GLF method.
     结果表明本文给出的方法是对直接超球谐广义Laguerre函数展开法(HH-GLF)的一个非常有效的改进。
短句来源
     The results of applying the adaptive predictive control strategy based on Laguerre model to a diffusion furnace are reported in this paper, and the principle and algorithm of the strategy are briefly introduced.
     主要报告了扩散炉采用Laguerre函数模型自适应预测控制的结果 ,并对这种自适应控制的原理及其算法作了简要概述。
短句来源
     The adaptive predictive control strategy based on Laguerre model shows a pretty good adaptability for the system with disturbance, variable parameters, variable structure, as well as nonlinearity.
     基于Laguerre函数模型自适应预测控制系统对扰动和对象参数、结构的变化及非线性具有较强的适应能力。
短句来源
     Studies on the Method for Determining High Temperature α-Amylase' s Activity
     原子Schrdinger方程直接求解的相关函数─势谐函数─广义Laguerre函数方法
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  laguerre function
The Laguerre function and the radial Coulomb wave function are defined by their recursion relations.
      
An addition theorem for the Laguerre function is re-derived using these techniques.
      
The characteristics of the principal modes and the multi-input threshold device can be derived from Laguerre function expansions of the computed first- and second-order Volterra kernels when the system is stimulated with a randomly varying input.
      
The new function is a generalization of the q-Laguerre function and the Stieltjes-Wigert function.
      
Finally, limq→1Anα((1 - q)x, -β, 1;q) gives Ln(α,β)(x,q), which is a β-modification of the ordinary Laguerre function.
      
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  laguerre functions
Laguerre functions are used as a basis in expanding the total wave function of the problem being considered.
      
The timedomain unknown coefficient is approximated by using an orthonormal basis function set that is derived from the Laguerre functions.
      
Using these Laguerre functions it is possible to evaluate the time derivatives in an analytic fashion.
      
The corresponding potential is supposed to be an arbitrary superposition of Laguerre functions.
      
We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups.
      
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By using the properties of discrete Laguerre functions, a novel unstructured model for non-linear process is presented. And it is used to the design of generalized predictive controller for nonlinear process. An adaptive algorithm suitable for non-linear process is obtained. And a simulation example is presented to show that this algorithm is indeed effective.

利用离散Laguerre函数的有关性质,给出了一类离散非线性系统的一个非结构模型;将之用于非线性过程广义预测控制器的设计,得到了一个适用于该类非线性过程的广义预测控制算法,并举例说明该算法的有效性。

In this paper, a three-term recurrence formula of discrete Laguerre functions and the definition of the unstructured model are given. The method of establishing the unstructured model of the process via discrete Laguerre functions is presented. A novel unstructured model is obtained. Based on this model, a simple generalized predictive controller is given. An example is presented to illustrate the utility of this controller.

本文给出离散Laguerre函数的三项递推公式和非结构模型的定义;提出应用离散Laguerre函数的有关性质建立过程的非结构模型的方法;得到一个新型的非结构模型;并导出了基于该模型的广义预测控制器;最后,以仿真例子说明了该控制器的有效性。

For the two-partical Boltzmann hierarchy,we consider only such distribution functions which can be expanded in Laguerre function series.By solving the moment equations system,an equilibrium solution for two-partical Boltzmann hierarchy is obtained.It is also shown that this equilibrium solution is valid for gen- eral molecular interaction.

在这篇文章,我们考虑分布函数可展成Laguerre函数的两粒子Boltzmann方程系.我们首先对于Maxwell分子,利用解矩方程组的方法,求得了两粒子Boltzmann方程系的平衡解.结果表明,我们得到的平衡解对非Maxwell分子模型也有效,同时我们证明了分布函数可展成La-suerre函数的两粒子Boltzmann方程系的平衡解只有实的或复的平均Maxwell分布.

 
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