As to the multivariable system model, the fuzzy decoupling method is investigated, and the valid fuzzy relation matrix with lower dimension is examined. The fuzzy decoupling method of the multivariable system with four-input variable and four-output variable is discussed, and the arithmetic method of the output variable is derived. And farther, the derivative of the input variable is taken into account, and the arithmetic method is derived as well.
针对多变量模型，本文采用了多变量模糊解耦方法进行了控制研究，推导了有效的降维模糊关系矩阵，得出了四输入四输出的多变量模糊系统的输出算法，并进一步考虑了加上输入变量导数的情况下算法的推导。
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
In Chapter 4, we use matrix derivative to deduce the mixed and componentwise condition numbers of structured matrix, such as Cauchy matrix, Vandermonde matrix, etc.
第四章用矩阵导数作为工具推导Cauchy矩阵，Vandermonde矩阵等结构化矩阵的混合型和分量型条件数。
In the development of ForStat, several problems are chosen and studied. They are:1 design and implementation of nonlinear least Square Algorithm, 2 design of general formula expositor, 3 design and implementation of software encryption scheme and4 making of help files system. The conclusion is as follows:Based on Newton Algorithm and its structural analysis, using symbol calculation to get derivative, complied expression to get numerical value and passing parameters in the forms of vector, Hessen matrix is calculated.
针对FORSTAT研制中的几个问题：①非线性最小二乘算法设计与实现：②通用公式解释器的设计：③软件加密方案的设计与实现：④帮助文件的制作，进行了研究，得出如下结论：(1)以牛顿法为基础，在分析其结构的基础上，采用符号运算求导、表达式编译求值和向量化传递参数，解决了HESSEN 矩阵的计算问题；采用信赖域方法，处理牛顿法的局部收敛问题。
The linear matrix inequalities directly guarantee the negativeness of the time derivative of the Lyapunov functional, and reduce the conservativeness of the controller design.
所得线性矩阵不等式直接保证Lyapunov泛函对时间的导数为负，降低了控制器设计的保守性。
Methods: The rabbit thighbone was selected to flush medullary cavity of bones, for the culture of the cell to paste the wall till the fourth generation, and bone derivative DMEM culture medium was added. The result was compared with that of the control group; the marrow matrix stem cell multiplication ability in the two groups was examined by MTT, and dyed with the osteoblast the calcium tubercle sodium alizarinsulfonate and I collagen immunity.
取兔股骨，冲洗骨髓腔，进行细胞的贴壁体外培养，培养至第四代加入含成骨诱导剂的DMEM培养基与空白组为对照组；噻唑蓝检测两组骨髓基质干细胞的增殖能力，进行成骨细胞的钙结节茜素红染色与I型胶原的免疫组化染色。
A left null factor of derivative matrix is introduced, and the sliding surface and the control's parameterization can be obtained by sloving strict LMI.
引入导数矩阵的左零因子，使得滑模曲面及控制器参数的求解可经过求解严格线性矩阵不等式获得，在一定程度上简化了LMI方法在奇异系统变结构控制器设计计算中的计算复杂性。
Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.
摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。
Based on an eigenstructure assignment result for descriptor linear systems via proportional plus partial derivative state feedback and a sensitivity result of generalized eigenvalues of matrix pairs, the problem of robust eigenstructure assignment via proportional plus partial derivative state feedback in descriptor linear systems is solved. General parametric expressions of the closed-loop eigenvalues sensitivities to the perturbed elements in the open-loop system matrices are obtained, and a simple effective algorithm for robust pole assignment via proportional plus partial derivative state feedback in descriptor linear systems is then proposed.
五、基于广义线性系统比例与部分状态导数反馈特征结构配置结果及矩阵对广义特征值灵敏度结果，研究了广义线性系统比例与部分状态导数反馈鲁棒极点配置问题，建立了闭环极点关于开环矩阵中受扰元素灵敏度的参数表达式，并在此基础上给出了广义线性系统比例与部分状态导数反馈鲁棒极点配置问题的一个简单、有效的算法。
The main results and contributions of this dissertation are as follows:(1) For a class of linear systems with uncertain parameters and unknown time varying delay in control input, a robust memoryless controller, guaranteeing asymptotic stabilization, is derived in terms of a linear matrix inequality depending on the size of time delay and on the size of delay derivative.
本文的主要内容和研究成果包括：(1)针对不确定时变时延连续时间系统，当系统含有输入时延时，通过求解线性矩阵不等式构造无记忆静态反馈控制器使得闭环系统鲁棒渐近稳定。
Robust impulse-eliminating of the systems with uncertainty in the first-order derivative coefficient matrix is focused in this paper.
重点研究对于导数项系数矩阵带有扰动的广义系统的鲁棒消脉冲问题。
The status of the development about robust control on the uncertain singular systems is briefly described. (2) This paper focuses on the theory of regional pole analysis and constraints of the systems with uncertainty in the first-order derivative coefficient matrix.
概述不确定广义系统的鲁棒控制研究现状。（2）针对导数项系数矩阵带有扰动的广义系统进行圆盘极点分析和圆盘极点配置研究。
Due to the pressure difference between fracture and matrix, the elastic storativity ratio is also changed during the test, which affects the pressure and pressure derivative.
由于裂缝和基岩之间的压力差，使得裂缝弹性储容比在测试过程中发生变化，进而影响了压力及压力导数；
The spectral matrix of the pressure derivative was specially treated to exclude the boundary pressure points in the governing equations.
同时对压力的谱导数矩阵进行了变换，使边界上的压力点不出现在计算方程中。
One of the main problems in resistivity tomography is to get Frechet derivative matrix (sensitivity matrix).
电阻率成像中最关键的问题就是获得雅可比偏导数矩阵。
Then, using the second-order central difference to discretize the time derivative of the displacement, and applying the quadrature formula to the mass matrix, a fully discrete lumped mass Morley element method is developed for the same problem.
然后利用中心差分格式离散时间方向的二阶导数，再利用适当的求积公式得到薄板弯曲问题的集中质量Morley元全离散格式。
According to the fractional derivative model of viscoelastic damper and force-deformation-slip relation of friction element, a precise finite element model of FVD is constructed, and the method for forming element stiffness matrix and control force vector of FVD is deduced.
针对粘弹性材料的分数导数模型和摩擦单元的力-位移-滑移量的矩阵关系式，建立了FVD精确的有限元模型，推导了FVD单元刚度矩阵和控制力向量计算公式和求解方法；根据钢筋混凝土框架结构的非线性特性，建立了设置FVD非线性钢筋混凝土框架结构地震反应时程分析的控制方法。
Emdogain is the conjugate of enamel matrix derivative and corresponding carrier, which can promote regeneration of periodontal tissues, biomineralization, bone induction and so on.
釉基质蛋白为釉基质衍生物与其相应载体的结合物，具有促进牙周组织的再生、生物矿化和骨诱导等生物特性。
On the basis of forward simulation, it studied the least-square generalized linear inversion method of the IP data, the hybrid computation method of partial derivative matrix, and the solving method of linear inversion equation.
在正演模拟的基础上，研究了激电数据的最小二乘广义线性反演方法、偏导数矩阵的混合计算方法、线性反演方程组的求解方法。
To the activation function that is non-monotonic sequential function, when product of the maximum characteristic value of the network connecting weight matrix and the infimum of the derivative to the activation function of the nerve cell more than-1, the network convergences concurrently.
对于激活函数为非单调的连续函数而网络连接权值对称，则当网络连接权值矩阵的最大特征值和神经元激活函数的导数下确界之积大于？