Continuity of the Polytope Generated by a Set of Matrices
作者单位：College of Mathematics Physics and Information Engineering Zhejiang Normal University Xingzhi College Zhejiang Normal University
会议名称：《第36届中国控制会议》
会议届次：36
主办单位：Dalian University of Technology;Systems Engineering Society of China (SESC);Technical Committee on Control Theory (TCCT), Chinese Association of Automation (CAA)
会议日期：2017年
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by National Natural Science Foundation (NNSF) of China under Grant 61374077 Natural Science Foundation of Zhejiang Province of China under Grant LY17F030001
关 键 词：Set-valued mappings polytopes matrices compactness continuity
摘 要：Continuity of the polytope generated by a set of matrices is dealt with in this paper. We have defined a norm for the polytope, and verified when these matrices belong to a compact set in R the norm is bounded and the polytope is ***, we have verified if the polytope is treated as a set-valued mapping from R to R, it is continuous and with convex and compact values.