关于状态变权向量公理化定义的若干结果  

Results on Axiomatic Definition of State Variable Weight Vector

作　　者：李德清[1] 谷云东[1] 李洪兴[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《系统工程理论与实践》2004年第5期97-102,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60174013);教育部博士点基金(20020027013);教育部科学技术重点项目(03184);973国家重大基础研究计划基金(2002CB312200)

摘　　要：　逐条分析状态变权向量原始定义中各条件的作用及其内在联系,给出一种改进的状态变权向量定义并讨论与之相关的若干约束条件.研究并解决了刘文奇就状态变权向量公理化定义条件所提出的一个猜想.最后,分析文献中关于状态变权向量的两种改进定义之间的关系.在状态变权向量等效意义下,证明了其中一种改进定义蕴涵着另一种改进定义.In this paper, functions of each condition in the original definition of state variable weights vector are researched in detail. A new improved definition is proposed and some constraints relevant to it are discussed. A conjecture given by Liu Wenqi is reconsidered, and a solution to the conjecture under some condition is found out. Finally, relationships between two improved definitions of state variable weight vectors given in related literatures are analyzed. From the viewpoint of equivalence of state variable weight vectors, for two modified definitions, it is proved that one implies another.

关 键 词：变权 变权综合 状态变权向量 状态变权向量的等效 

分 类 号：O159[理学—数学]