逼近理论

最佳一致逼近理论中哈尔（Haar）条件的等价定义

The Equivalent Definition of Haar Condition in Best Uniform Approximation Theory

针对一类未知不稳定非线性系统，基于小波逼近理论，提出了一种直接自适应控制算法，并由Lyapunov理论证明了整个控制闭环系统的稳定性。

Based on the wavelet approximation theory , a novel direct adaptive control algorithm is proposed for a class of nonlinear model unknown systems . The stability of the closed loop is proved by using Lyapunov theory .

关于Q过程的逼近理论（续）

The theory of approximation on the Q - processes ( continued )

关于Q过程的逼近理论

The theory of approximation on the Q processes

线性算子带W权Drazin逆的表示与逼近理论

The Representation and Approximation Theorems for the W-weighted Drazin Inverse of Linear Operator

最后通过MATLAB仿真验证了该改进方案具有较高的渐近编码增益，使系统性能更逼近理论限。

Finally , it is verified that this scheme can get higher asymptotic coding gain through MATLAB simulation , which makes the system performance approach the asymptotic limit in theory compared with the traditional scheme .

针对FIR正交滤波器方法的缺点，本文根据函数逼近理论，在理论上，证明了正交小波函数可以最佳一致逼近理想滤波器。

After deficiencies of the FIR based orthogonal filter are analyzed , this paper , based on function approximation , theoretically proves that orthogonal wavelets can best approximate the ideal filters .

首先研究了基于正交多项式函数的神经网络逼近理论和方法，并在此基础上证明了新型Chebyshev神经网络具有良好的非线性并研究了它的全局最优逼近性质。

Universal approximation capability of orthogonal polynomials based on NN was proposed , and with which nonlinear approximation and global optimization of this new type Chebyshev NN were proved .

运用经验过程的逼近理论及Taylor展开方法，给出了估计在全直线上的弱一致收敛速度，并证明了估计的渐近正态性。

The rate of weak uniform convergence of the PL type estimator over the whole line is given and asymptotic normality of the estimator is proved by the approximation of empirical process and Taylor expansion .

借助Gegenbauer多项式逼近理论，将随机Duffing系统转化为与其等效的确定性非线性系统。

At first , the stochastic Duffing system is transformed into its equivalent deterministic nonlinear system by the Gegenbauer polynomial approximation .

结合Nussbaum控制增益技术和在线逼近理论，基于Lyapunov方法，建立了一个可以使系统一致最终有界的控制器。

Combining the Nussbaum gain technique and on-line approximate theory , based on Lyapunov method , we give a controller and the closed-loop system is guaranteed uniformly ultimately bounded .

文章利用Padé逼近理论和拉普拉斯变换理论研究了指数和逼近这一非线性逼近的问题，得出了指数和逼近的一种简易求法，并给出了数值例子。

In this paper , the exponential sum approximation is studied by utilizing Pad é approximation theory and Laplace transformation theory . A simple solution of exponential sum approximation is obtained and illustrating examples of numerical values are given .

在这篇文章中，给出了Navier-Stokes问题第一边值和第三边值问题原始变量变分形式和加罚变分形式的最优控制有限元逼近理论，并且还有数值计算的例子。

An optimal control finite element approximation theory for the primitive variable and penalized variational formulation of the Navier-Stokes equations with the first and third boundary conditions is presented . Numerical examples are also provided .

本文借助于概率测度弱收敛与概率论强逼近理论，较为详细地研究了N台并联Fork-Join排队网络，得到了响应时间、队长、离去过程的弱收敛与强逼近定理。

In this paper , N-union station Fork-Join queueing network is studied detailed by means of probability measure weak convergence and strong approximation in probability . We obtain weak convergence and strong approximation theorems for response time .

单一径向基（RBF）神经网络是一种性能良好的前向网络，其既有生物背景，又与函数逼近理论相配，适合于多变量函数逼近。

A single radial basis function neural network ( RBF NN ) is a good performance feed forward network which not only has biological context , but also match with the function approximation theory and is suitable for multi-variable function approximation .

最后根据Pade逼近理论由给定频率处的频率导数感应电流确定周期性结构在任意频率入射波照射下的感应电流。

The equivalent currents at any frequency within the frequency band can then be obtained from the equivalent currents of frequency derivative at given frequency via the Pade approximation .

我们建立了非一致Jacobi加权Sobolev空间中的Jacobi-Gauss型插值的逼近理论。这些理论对于数值积分公式和微分、积分方程的数值方法都是非常重要的工具。

We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly Jacobi-weighted Sobolev spaces , which serve as important tools in analysis of numerical quadratures , and numerical methods of differential and integral equations .

我们引入了一些必需的非一致Jacobi加权Sobolev空间，定义了从这些空间到多项式空间的各种正交投影，并建立了相应的逼近理论。这些理论是四阶微分方程Jacobi谱方法的数学基础。

Some non-uniformly Jacobi-weighted Sobolev spaces are introduced . Some approximation results on various orthogonal projections in these spaces are established , which serve as the mathematical foundation of Jacobi spectral methods for differential equations of fourth-order .

介绍了最佳一致逼近理论的基本概念及Remez算法，描述了适用于核磁共振波谱仪的FIR－DF设计方法及实践经验，提供了实验结果。

The paper introduced fundamental concept of optimum unified approach theory , and described the design method of FIR-DF . Which was suitable to nuclear magnatic resonance spectrometer and practice experience . The paper alse , provided experimental results .

通过仿真概率密度曲线逼近理论曲线的程度和程序运行效率两方面对生成Nakagami-m分布随机变量的几种典型方法&Bruteforce法、正弦求和法、逆变换法性能进行研究和比较。

The paper investigated and compared three typical methods of generating Nakagami-m random variables i.e.Brute force method , sum-of-sinusoids method and inverse transform method with each other by the degree of simulation probability density curve approaching to theory 's as well as the efficiency of programming .

滤波器的设计，实质上是数学逼近理论的应用。

Design of the filter is essentially application of approximation theory .

一次逼近理论下边坡稳定的模糊随机数值分析

Fuzzy-Stochastic Math-Algorithm Analysis for Slope Stability Based on First-Order Approximation Theorem

前向傅立叶神经网络系统逼近理论及学习算法

On Forward Fourier Neural Networks System Approximate Theory and Learning Algorithm

模糊系统万能逼近理论研究综述

Researches for universal approximation of fuzzy systems : a survey

拟周期运动的逼近理论及其在电子学系统中的实现

The Approximating Theory of Quasi-Periodic Motion and the Verification in an Electronic System

缓发中子迁移方程的谱逼近理论

Spectral Approximation Theory for Transport Equation with Delayed Neutrons

层次径向基神经网络的全局逼近理论

Universal approximation theory of hierarchical radial basis function network

并利用随机逼近理论证明了上述三种情形下提出的算法的收敛性。

The convergence of algorithms is proved by the classical stochastic approximation theory .

量子基态行列式表示的逼近理论

Quantum ground state approximation theory in determinant representation

基于粗糙集的神经网络函数逼近理论

Neural Network Function Approximation Based on Rough Sets