查询词典 jacobian matrix

The definition and stability criterion of resonant operating points in a CPT system have been described. A Poincarémapping model has been built up and its Jacobian matrix has been derived with the implicit function derivative rule and chain rule. Then the stability of the fixed points can be determined according to the eigenvalues of the the Jacobian matrix. It has been used to study an example push-pull CPT system with three resonant operating points.

文中给出了CPT系统中谐振点的定义及判断条件，建立了系统的庞加莱映射模型，并根据隐函数及复合函数求导法则，推导出了系统庞加莱映射周期不动点的雅可比矩阵，根据雅可比矩阵的特征值分布情况，即可判断各不动点的自治振荡稳定性。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

Jacobian, Hessian Matrix Properties, Sensitivity Analysis w.r.t Design Variables, Fixed Parameters and Constraints, Normalization, Finite Difference Approximation, Automatic Differentiation, ANOVA, Adjoint Methods, Examples

Jacobian， Hessian矩阵属性，灵敏度分析w.r.t设计变量，固定参数和约束，归一化，有限差分逼近算法，自动差分算法，ANOVA，伴随矩阵法，举例

The authors study the property of the active power/angle sub-matrix in power flow Jacobian matrix and the sufficient condition for the invertibility of the sub-matrix as well as the necessary condition for singularity are given.

探讨了潮流雅可比矩阵中有功/相角子矩阵的性质，给出了该矩阵可逆的充分条件及其奇异的必要条件。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

Those problems include inverse position analysis of the machine, inverse and direct position analysis of the parallel locking mechanism, relationships of velocity and acceleration between cutter and actuators, Jacobian matrix of the machine, forward position computation of the machine, the links'velocity and acceleration of the driving chains, the links'velocity and acceleration of the locking mechanism, kinematics simulation of the machine, and so on. The Jacobian method presented in the thesis to calculate the direct position of the machine is of high efficient.

其中包括机床的位置逆解分析，平行机构的位置逆解分析，机床刀具与各主动关节之间的速度和加速度映射关系的求解，并联机床雅可比矩阵的计算，并联机床的位置正解计算，支链构件的速度和加速度计算，平行机构各构件的速度和加速度计算以及机床各运动学指标的仿真计算等。

The paper presents the formulation of the inverse kinematics of the 3-RSS/RU parallel mechanism and analyzes the direct solution. It deduces velocity Jacobian matrix. The moment transfer Jacobian matrix is obtained base on the principle of virtual work and simulated the input and output.

本论文首先推导了3-RSS/RU并联机器人的运动学反解方程，并对位置正解进行了分析，推导了速度雅可比矩阵，在此矩阵的基础上，利用虚功原理得到了力矩传递雅可比矩阵，对力矩的输入输出做出了仿真。

Third, this paper proposes a method of dealing with singularity of Jacobian matrix of robot manipulator, then introduces singular robust inverse matrix of Jacobian matrix.

并在拉格朗日—欧拉方程的基础上给出了机器人操作器的动力学方程，对动力学方程中的惯量项、重力载荷项进行了简化，并给出了哥氏力和离心力项的简单求法。

In order to compensate the time-delay, local fitting Jacobian matrix with time-delay compensation based on polynomial fitting is employed to obtain more accurate Jacobian estimation and image precompensation.

为了补偿时延，本文采用局部拟合方法估计图像雅可比矩阵，以获得当前时刻更准确的图像雅可比矩阵估值，并可对图像预补偿。

Inorder to compensate the time-delay,local fitting Jacobian matrix with time-delay compensation based on polynomial fittingis employed to obtain more accurate Jacobian estimation and image precompensation.

为了补偿时延，本文采用局部拟合方法估计图像雅可比矩阵，以获得当前时刻更准确的图像雅可比矩阵估值，并可对图像预补偿。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。