函数矩阵

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

Interpolation functions in the point interpolation method have delta function property, which is convenient to implement essential boundary conditions.

点插值方法的插值函数具有 Delta 函数性质，可以很方便的施加本质边界条件，但在计算插值函数时矩阵易出现奇异。

However, its accuracy is not much high in interpolation. On the other hand, interpolation functions in the point interpolation method have delta function property, and it is convenient to apply the essential boundary conditions.

而点插值方法的插值函数具有Delta函数性质，可以很方便的施加本质边界条件，不利之处是在计算插值函数时矩阵易于奇异。

A sufficient condition that ensures the stability of the origin of the system is derived, and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system.

构造了一个更一般的Lyapunov函数—模糊Lyapunov函数来分析系统的稳定性以及估计系统的吸引域，克服了寻求一个公共的正定矩阵P的困难，使用模糊Lyapunov函数得到的系统的吸引域估计保守性更小。

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题，利用所构造价值函数具有的特殊非线性最小二乘结构，成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

In Part 5, the stability of linear large-scale singular dynamic system is investigated by using the method of vector generalized Lyapunov function and the sum type of scalar generalized Lyapunov function, respectively.

首先研究线性广义系统二次型李雅普诺夫函数的存在性；然后建立按线性近似系统决定非线性广义系统稳定性的准则；进而改进广义李雅普诺夫函数法以研究广义系统的稳定性；最后提出利用非线性函数的偏导数矩阵判别非线性微分-代数系统稳定性的若干简便判据。

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

This article makes use of the approximation property of Laguerre orthogonal function series to present a Laguerre function approxima te model of linear dynamic systems.The model eliminates the need for assumption of the plant order and the time delay and approaches unknown systems via estimat ing the Laguerre coefficients on-line.

蒋中摘要：利用Laguerre正交函数序列对空间函数的良好逼近特性，建立了线性动态系统的Laguerre函数近似模型，该模型不需要对象的阶次和时延等结构知识，通过在线辨识对象的 Laguerre系数矩阵，能较好地逼近结构未知系统。

In order to solve the problem that matrix A often occurs irreversible when shape function is calculated by using traditional element free Galerkin method, the orthogonal function with the weight function is utilized in the paper. And partition of unity quadrature technique is employed and so a truly "meshless" method is realized.

针对传统无网格伽辽金方法在构造形函数时，矩阵A容易出现不可逆的弊端，采用带权正交基函数构造形函数，在积分方案上采用单位分解积分方法，从而实现了真正的"无网格"。

The second part includes the definition of positive definite function and conditional positive definite function, the basic form of Radial Basis Function interpolation, the correctness of the inversion of the interpolation matrix, the error estimate based on Kringing function.

主要包括径向基函数的相关定义，基本的插值形式，插值矩阵的可逆性，以Kringing范数为基础的径向基函数插值的局部误差估计和径向基函数插值边界附近的情况。

Do you know, i need you to come back

你知道吗，我需要你回来

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。