{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:32:55Z","timestamp":1760236375145,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,11,17]],"date-time":"2021-11-17T00:00:00Z","timestamp":1637107200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym13112194","type":"journal-article","created":{"date-parts":[[2021,11,17]],"date-time":"2021-11-17T21:32:07Z","timestamp":1637184727000},"page":"2194","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Sign Stability of Dual Switching Linear Continuous-Time Positive Systems"],"prefix":"10.3390","volume":"13","author":[{"given":"Liang","family":"Liu","sequence":"first","affiliation":[{"name":"College of Electrical Engineering, Guizhou University, Guiyang 550025, China"}]},{"given":"Fei","family":"Long","sequence":"additional","affiliation":[{"name":"College of Artificial Intelligence and Electrical Engineering, Guizhou Institute of Technology, Guiyang 550003, China"},{"name":"Special Key Laboratory of Artificial Intelligence and Intelligent Control of Guizhou Province, Guiyang 550003, China"}]},{"given":"Lipo","family":"Mo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China"}]},{"given":"Qianqian","family":"Mu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1109\/TAC.2012.2203049","article-title":"Almost Sure Stability of Markov Jump Linear Systems with Deterministic Switching","volume":"58","author":"Bolzern","year":"2013","journal-title":"IEEE Trans. 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