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Control Optim."],"published-print":{"date-parts":[[2025,8,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>This paper studies the stability of switched homogeneous positive systems involving time delays. In contrast to previous approaches that rely on the marginally stable assumption, our framework permits the consideration of subsystems that may exhibit partial divergence. Sufficient conditions are derived to ensure exponential stability for continuous-time switched positive systems, covering both delay-free cases and those with bounded delays. Furthermore, polynomial stability is examined for systems subject to proportional delays. In the discrete-time setting, asymptotic stability criteria are established for systems with constant delays, along with two specific instances of these conditions. The results presented here extend and refine several well-known findings in the literature. To validate the proposed theoretical criteria, three illustrative numerical examples are provided.<\/jats:p>","DOI":"10.1137\/24m167500x","type":"journal-article","created":{"date-parts":[[2025,8,18]],"date-time":"2025-08-18T07:35:37Z","timestamp":1755502537000},"page":"2915-2935","source":"Crossref","is-referenced-by-count":4,"title":["Stability Analysis of Switched Homogeneous Positive System with Unstable Subsystems"],"prefix":"10.1137","volume":"63","author":[{"given":"Qiang","family":"Xiao","sequence":"first","affiliation":[{"name":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology; Key Laboratory of Image Information Processing and Intelligent Control, Ministry of Education of China, Wuhan, 430074 China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhigang","family":"Zeng","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology; Key Laboratory of Image Information Processing and Intelligent Control, Ministry of Education of China, Wuhan, 430074 China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingang","family":"Lai","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology; Key Laboratory of Image Information Processing and Intelligent Control, Ministry of Education of China, Wuhan, 430074 China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tingwen","family":"Huang","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, 518107 China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Frank L.","family":"Lewis","sequence":"additional","affiliation":[{"name":"UTA Research Institute, University of Texas at Arlington, Fort Worth, TX 76118 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,8,18]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2054770"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/20M1337454"},{"key":"ref3","volume-title":"Positive 1D and 2D Systems","author":"Kaczorek T.","year":"2014"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2023.110965"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109472"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2158170"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2866467"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/130943340"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2011.600336"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2022.101300"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3495"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2199169"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2713951"},{"key":"ref14","first-page":"414","volume":"56","author":"Liu X.","year":"2009","journal-title":"IEEE Trans. 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