利用广义函数给出了一种精确积分方法，可以得到有关矩阵的显式表达，得到提高了求解精度和效率。
By using generalized function, an accurate integration method is developed to get the explicit formulation of the matrixes involved. This can improve the accuracy and efficiency of the method.
本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式。
In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。
Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.
基于广义频率响应函数矩阵，讨论了多变量非线性系统的稳定性问题。
The stability of multivariable nonlinear control system is discussed in connection with the generalized frequency response function matrix.
我们所关心的是函数项级数可否通过T矩阵广义求和。本文对这个问题进行了探讨。
In this article the problem of whether the T-matrix can also be used to generalize the summation for series of functional terms is discussed.
提出了分量函数矩阵和广义二次型函数等新的概念，讨论了广义二次型函数定号性的判定方法。
Firstly, some new conceptions such as component function matrix and generalized quadratic form function are presented.
然后引入作用较大的高阶广义节点形函数，扩充广义刚度矩阵，并求解新的整体平衡方程，得到更高精度的数值解。
Then, those useful generalized nodes are selected, and the generalized stiffness matrix is enlarged. A more accurate numerical solution can be obtained after the new equilibrium equations are solved.
然后引入作用较大的高阶广义节点形函数，扩充广义刚度矩阵，并求解新的整体平衡方程，得到更高精度的数值解。
Then, those useful generalized nodes are selected, and the generalized stiffness matrix is enlarged. A more accurate numerical solution can be obtained after the new equilibrium equations are solved.
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