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A new algebraic system X is constructed by using the known loop algebra 1 and difference operators.

首先利用环代数1和微分算子构建一种新的代数系统X。

And the further research is carried out for stability of differential algebraic hybrid system. And the stability theory put forward in the dissertation is used in the analysis and control of voltage stability of power system.

针对微分代数混杂系统的稳定性分析进行深入研究,并将其应用于电力系统电压稳定性的分析和控制。

First, based on the nonlinear differential algebraic model of power system, a dissipative Hamiltonian realization is proposed via pre-feedback control.

首先建立了系统的非线性微分代数方程模型,通过预置状态反馈完成了耗散Hamilton实现。

An algebraic classification of the systems is given, and the global phase portraits of systems are studied.

值得指出的是,这一方法适用于具有星形结点的一般多项式微分系统。

Matlab for use, and the solution of algebraic differential equations.

详细说明:用matlab作的,代数微分方程组的解法。

To use symbolic and algebraic computation techniques for studying the computational properties of procedure schemes, some convergent procedure schemes are investigated in algebraically closed field and real closed field.

过程模式在代数闭域和实闭域上的应用:本文在代数闭域和实闭域上研究了收敛过程模式,设计了用于自动推理的过程模式,并且用其解决微分动力系统研究中的中心-焦点问题。

What s more, we wonder whether there are some qualities about algebroid function corresponding to meromorphic func-tion,specially, concerning deficiency, characteristic function,differential polynomial and so on.

而且一些亚纯函数中存在的性质在代数体函数中是否相应存在仍有待研究,特别是涉及亏量、特征函数及微分多项式等方面。

Differential equation; uniqueness theory; meromorphic function; algebroid function; unit disc

基础科学,数学,数学分析微分方程;唯—性理论;亚纯函数;代数体函数;单位圆

The technique of boundary-fitted coordinate system is used to overcome the difficulties resulting from the complicated shapes of natural river boundaries;the method of alternating direction implicit finite difference scheme is used to solve the partial differential equations in the transformed plane;and the technique of moving boundary is used to deal with the river bed exposed to water surface.

用适体坐标技术克服天然河道复杂的几何边界给有限差分法所带来的困难;用交替方向隐式有限差分格式求解变换平面上的偏微分方程;用动边界技术处理河床的淹露。

In the fourth chapter, we build the model of coefficient on one dimension partial differential equation and adopt finite element method to discrete partial differential equation and in the fifth chapter, we employ GP to identify and build the model of right-side function and adopt over-relaxation or alternating direction implicit method to solute difference equation.

在求解这些偏微分方程连续系数反演或右端连一一一~武卫1里鱼立二大一至」夔里匕崖匕位止透二立一一一一续函数的适应值评价中,我们都采用H'一范数正则化来解决连续参数的识别问题。

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