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An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The subspace iterative method is used for the solution of natural frequencies and vibration modes for the free vibration of beam structures.

本研究推导元素的节点惯性力时,先将元素扰动位移表示成当前固定元素座标的扰动位移和旋转之函数,故可直接求得元素的节点惯性力,元素的一致性质量矩阵可由元素节点的惯性力对元素节点的加速度微分求得。

The properties of these models are obtained by studing the decreased dimension models by Liapunov function, matrix theory, monotone dynamics theory, Krasnoselskii technique and so on.

通过研究低维系统,我们就可以得到原系统的性态。在对模型的分析中,运用了构造Liapunov函数法、矩阵理论、单调动力系统理论、Krasnoselskii方法等。

Based on the theory of topology and the properties of M-matrix, by constructing vector Liapunov function and applying differential inequalities, the exponential stability of three classes of interconnected large-scale systems with time delays is analyzed.

本文利用M-矩阵理论,应用微分不等式以及拓扑学等有关知识,通过构建向量李雅普诺夫函数,研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。

Using the linear fractional transformation for the system model, the controller was designed based on H2/H∞ control by the method of linear matrix inequalities for the uncertain parameter and external disturbance in hydraulic servos.

针对液压伺服系统中参数时变和外界干扰的特点,通过运用线性分式变换得出系统的传递函数,运用线性矩阵不等式处理方法,设计出基于H_2/H_∞控制的控制器。

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性,利用矩阵的Schur补性质,将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

For BMAP/SM/1 queue, we derive the generating function of queueing length by use of imbedded markov chain and transition probability matrix.

关于BMAP/SM/1排队模型,运用嵌入马氏链的方法,通过转移概率矩阵,得到队长的概率母函数。

Secondly, we investigate the method of discernibility matrix and function.

其次,我们对差别矩阵差别函数的方法进行了研究。

In order to circumvent this difficulty, a procedure has to be found which specifies the transition matrix as a function of its second argument

为了克服这个困难,必须寻求一种方法,能将转换矩阵规定为它的第二变元的函数。

Presently, there are two kinds of arithmetic for reduction of knowledge. One is by using discrimination matrix construct discrimination function.

目前求解知识约简的算法主要有两种:一种是利用辨识矩阵构造区分函数,另外一种是基于属性重要性的启发式算法。

To fight with it, we explore availability of such schemes as matrix game for MEE criterion, and propose simple proof for Baum-Eagon theorem.

为此,作者探讨了解决损失函数连续化问题方法,如矩阵对策,提出了一种简化Baum-Eagon定理证明的方法。

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