文献类型：期刊文献

英文题名：Sign Stability of Dual Switching Linear Continuous-Time Positive Systems

作者：Liu, Liang Long, Fei Mo, Lipo Mu, Qianqian

第一作者：Liu, Liang

通信作者：Long, F[1];Long, F[2]|[144401cdcd7b1b0915448]龙飞;

机构：[1]Guizhou Univ, Coll Elect Engn, Guiyang 550025, Peoples R China;[2]Guizhou Inst Technol, Coll Artificial Intelligence & Elect Engn, Guiyang 550003, Peoples R China;[3]Special Key Lab Artificial Intelligence & Intelli, Guiyang 550003, Peoples R China;[4]Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China;[5]Guizhou Educ Univ, Sch Math & Big Data, Guiyang 550018, Peoples R China

第一机构：Guizhou Univ, Coll Elect Engn, Guiyang 550025, Peoples R China

通信机构：corresponding author), Guizhou Inst Technol, Coll Artificial Intelligence & Elect Engn, Guiyang 550003, Peoples R China;corresponding author), Special Key Lab Artificial Intelligence & Intelli, Guiyang 550003, Peoples R China.|贵州理工学院;

年份：2021

卷号：13

期号：11

外文期刊名：SYMMETRY-BASEL

收录：;Scopus(收录号：2-s2.0-85119593480);WOS:【SCI-EXPANDED(收录号:WOS:000770606700001)】；

基金：This work was supported by National Natural Science Foundation under Grants (61813006, 61973329), Key Projects of Basic Research Program of Guizhou Province under Grant (20191416), Guizhou Education Department Youth Science and Technology Talent Growth Project (QianJiaoHe-KY-Zi[2021]239).

语种：英文

外文关键词：1-moment exponential stability; exponential mean-square stability; sign stability; dual switching linear continuous-time positive systems; symmetrical qualitative stability

摘要：This paper investigates 1-moment exponential stability and exponential mean-square stability (EMS stability) under average dwell time (ADT) and the preset deterministic switching mechanism of dual switching linear continuous-time positive systems when a numerical realization does not exist. The signs of subsystem matrices, but not their structures of magnitude, are key information that causes a qualitative concept of stability called sign stability. Both 1-moment exponential stability and EMS stability, which are the traditional stability concepts, are generalized intrinsically. Hence, both 1-moment exponential sign stability and EMS sign stability are introduced and are proven based on sign equivalency. It is shown that they are symmetrically and qualitatively stable. Notably, the notion of stability can be checked quantitatively using some examples.