线性克隆系统的数学原理  

The Mathematical Principle of the Linear Cloning System

作　　者：赵一男[1] 郭志忠[1] 

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,黑龙江哈尔滨150001

出　　处：《哈尔滨理工大学学报》2014年第3期122-126,共5页Journal of Harbin University of Science and Technology

摘　　要：针对光学电场传感器空间电场测量的问题,提出了克隆传感的概念,构建了线性克隆系统,并建立了相应的理论体系.运用克隆变换方法得到了向量形式的克隆体,所有的克隆向量形成了品性一致、方位正交的克隆向量集;对克隆向量的性质进行了分析,并证明了关于克隆向量取值的正交克隆变换定理;基于标量积运算构建了克隆方程组,将多克隆体组织成线性克隆系统;证明了克隆矩阵非奇异条件定理,该定理为线性克隆系统的可靠应用提供了数学保障.To solve the problem of the space electric field measurement around the optical electric field sensor,this paper proposed the concept of the clone sensing,built the system of the linear clone and established the system of the corresponding theories.By using the method of the cloning transformation,the vector form of the clones was obtained,which constituted the collection of the clone vectors consistent in character and orthogonal in orientation.The property of clone vectors had been analyzed and the orthogonal cloning transformation theorem conserving the value of clone vectors had been proved.The cloning equation set was built on the basis of scalar product operation and the cloning system was composed by multiple clones;the theorem of non-singular conditions of clone matrix,the mathematical support for the reliable application of the linear cloning system,had been proved in this paper.

关 键 词：线性克隆系统 克隆向量 正交克隆变换 克隆矩阵 克隆方程组 循环矩阵 

分 类 号：O231.1[理学—运筹学与控制论]