导数

Decoupling control ; relative degree ; Lie derivative ; decoupling matrix ; neural network

解耦控制；相对阶；李导数；解耦矩阵；神经网络

The proposed control strategy is discussed detailedly based on the Lie derivative method. The geometry associated with the sliding mode control is easy to understand and could be particularly exploited in circuits which are designed to exhibit a time scale separation property.

文中采用李导数分别给出了二阶和三阶滑模变结构控制器详细的分析和设计，与传统的分析和设计方法相比，该方法使整个过程更加简明、更具系统性。

Considering the vehicular SG cruise integrating model under braking condition influenced by some factors of nonlinearity, time-delay and the disturbance, a new nonlinear SMITH predictor is designed to compensate the time delays of control variable in advance. Furthermore, with the resort of pure delay operator, extension of the Lie derivative and the Lie bracket, some issues of SISO nonlinear system with time delays in state variable are resolved, which cover the input-output linearization, invertability of coordinate transformation and the disturbance decoupling problem.the staged transformation and design technique, the vehicle deceleration tracking control and the SG cruise disturbance decoupling control under braking condition are carried out effectively using proposed control method.

在建立制动工况下车辆走-停巡航系统集成模型基础上，针对其非线性、时滞特性以及目标车减速度干扰的影响，提出一种改进的非线性SMITH预估补偿方法，以消除控制变量时滞，并结合时滞算子、扩展李导数和扩展李括号方法，研究并解决了SISO状态变量时滞非线性系统的输入输出线性化、坐标变换的可逆性以及输出干扰解耦问题，实现了SISO时滞非线性系统的综合控制。

The linear extrapolation technique was the most practical and suitable method because of its relative high correlation with a wide range of chlorophyll content, relative simple algorithm, relative high sensitivity to chlorophyll at high or low content and application to more wider bandwidth spectra.

四点线性内插法计算的红边位置往往偏大，最大一阶导数法与叶绿素含量的关系存在着明显的不连续性，拉格朗日内插法、倒高斯模型法在一定程度上存在着对高叶绿素含量的饱和现象，多项式拟合法对拟合波段区间、最高项次及光谱分辨率等比较灵敏而导致结果不够稳定，而线性外推法计算出的红边位置对叶绿素含量最为敏感，预测的准确度最高，且计算相对比较简单，并能适用于较宽波段的遥感数据。

The so-called linear, is an unknown function appears in equation and its derivative all once.

所谓线性，是指方程中出现的未知函数及其导数都是一次的。

By transforming high - grade gentle lack one type linear differential equation into the linear differential equation of successive integral, the theory and method for the general solutions of this kind of equation are determined.

方程'+=f是高阶线性微分方程，(约定尹0)=刃，是两项和的形式，其特征是含有相同的底，导数的次数相差一阶，因此不妨定义该方程为：高阶和式次数差一型线性微分方程。

The third chapter constructs a derivative-free optimization method for linear equality constrained optimization problem and gives the proofs of the global convergence.

第三章提出了线性等式约束最优化问题的非单调无导数优化算法，并证明了这种算法的全局收敛性。

The B-spline finite element Methodis becoming increasinglyimportant due to the derivative continuity and local support propertiesof its basis functions.

B样条有限元法以其基函数具有导数连续性和局部支集性而越来越受到人们的重视。

The paper gives a detailed introduction to the classification and mothed of image edge detection from the traditional point of view,that is,the robert operator based on the maximum gradient detection,the sobel operator,the prewitt operator,the canny orerator,the laplancan operator based on the detection of second derivative of the zero-crossing point and then log operator.The paper makes a summary and analysis to the principles and applications,advantages and disadvantages of each algorithms and operators. Especially the canny operator.

本文首先介绍了图像边缘检测在国内外的发展，图像边缘检测的重要性及意义，阐述了图像边缘检测的原理，从传统的角度详细介绍了的图像边缘检测的分类及方法，即基于检测梯度最大值的robert算子，sobel算子，prewitt算子，canny算子，基于检测二阶导数的零交叉点的laplacan算子及log算子，对各种算法和算子的原理及用法及优缺点做了总结和分析尤其是canny算子。

Calculation formulae for real number order derivative and integral of logarithmic functions and power functions have been obtained which are the important references to calculate real number order calculus of any other functions.

计算得出了对数函数、幂函数的任意实数阶导数及积分的完整计算公式，它们是推导其它函数任意实数阶微积分公式的重要参照式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。