{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:09:27Z","timestamp":1760144967955,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T00:00:00Z","timestamp":1717545600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"],"award-info":[{"award-number":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Academician Innovation Platform Special Project of Hainan Province","award":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"],"award-info":[{"award-number":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"]}]},{"DOI":"10.13039\/501100004761","name":"Natural Science Foundation of Hainan Province","doi-asserted-by":"publisher","award":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"],"award-info":[{"award-number":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"]}],"id":[{"id":"10.13039\/501100004761","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Research Funding of Hainan University","award":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"],"award-info":[{"award-number":["62363009","YSPTZX202209","622RC618","KYQD(ZR)22180"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper investigates the state estimation and event-triggered control for positive nonlinear multi-agent systems. Firstly, a proportional\u2013integral observer is established to estimate the states of the considered nonlinear positive multi-agent systems based on the matrix decomposition method. Then, a dynamic event-triggered mechanism is constructed, and a control protocol is proposed based on the proportional\u2013integral observer and event-triggered mechanism. By combining linear programming with linear co-positive Lyapunov functions, the considered multi-agent systems are guaranteed to be positive and achieve consensus. Moreover, by introducing three new variables and a finite vector, the final convergence point can be changed based on the given vector. Finally, two illustrative examples demonstrate the validity of the proposed theoretical results.<\/jats:p>","DOI":"10.3390\/axioms13060384","type":"journal-article","created":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T03:49:28Z","timestamp":1717559368000},"page":"384","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Proportional\u2013Integral Observer-Based Dynamic Event-Triggered Consensus Protocol for Nonlinear Positive Multi-Agent Systems"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0585-6137","authenticated-orcid":false,"given":"Xiaogang","family":"Yang","sequence":"first","affiliation":[{"name":"School of Information and Communication Engineering, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5709-703X","authenticated-orcid":false,"given":"Mengxing","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3409-2970","authenticated-orcid":false,"given":"Yuanyuan","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7894-105X","authenticated-orcid":false,"given":"Xuegang","family":"Tan","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/j.enbuild.2016.05.040","article-title":"A General Multi-Agent Control Approach for Building Energy System Optimization","volume":"127","author":"Cai","year":"2016","journal-title":"Energy Build."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1080\/00207540701441921","article-title":"Multi-Agent Systems Applications in Manufacturing Systems and Supply Chain Management: A Review Paper","volume":"46","author":"Lee","year":"2008","journal-title":"Int. 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