permutation homeomorphism

The method was based on a homeomorphic transformation of the infinity into the origin(linear singular point).

用一同胚变换将无穷远点转变成原点(初等奇点)。

The method is based on a homeomorphic transformation of the degenerate singular point into elementary singular point,which allows us to compute the generalized Lyapunov constants(the singular point quantities)for the origin and derive the center conditions for the degenerate singular point.

用一同胚变换将退化奇点转变成初等奇点进而计算了原点的Lyapunov常数(奇点量),并由此得到了原点的中心条件。

The input-output data were firstly changed into by using topological homeomorphism,then a series of predictive models were obtained by polynomial approach for nonlinear modeling.

将有界输入输出数据的取值域通过拓扑同胚变换到[0,1]范围内,用多项式逼近方法建立非线性系统的多个不同预测步长的预测模型,最小化目标函数求得预测控制律,并通过误差修正去除有可能存在的模型失配对系统的影响,得到了一种非线性系统的预测控制算法。

Due to its underactuated characteristic, two sub-systems are obtained based on the diffeomorphism transformation and input transform.

针对其欠驱动的特性,借助微分同胚变换及控制输入变换将其转化为两个子系统,分别设计状态反馈控制律,从而得到了原系统的具有指数收敛速率的时变光滑反馈镇定律,实现闭环系统所有状态全局指数收敛至平衡点。

The relationship of valence electron structure and multiple isomorphous replacement of Montmorillonite;

蒙脱土的价电子结构与其同晶置换

In this paper,the concepts of exponent and conjugate permutation on symmetric group of degree n were given.

在n次对称群中引入了刻画n元置换性质的指数概念与同型置换的概念,然后基于对指数概念与同型置换概念的研究得到了n元置换的一些性质描述。