{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T16:03:24Z","timestamp":1765382604333,"version":"build-2065373602"},"reference-count":40,"publisher":"World Scientific Pub Co Pte Ltd","issue":"18","funder":[{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"crossref","award":["LMS25F030010"],"award-info":[{"award-number":["LMS25F030010"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100022955","name":"Fundamental Research Funds for the Provincial Universities of Zhejiang","doi-asserted-by":"crossref","award":["GK229909299001-010"],"award-info":[{"award-number":["GK229909299001-010"]}],"id":[{"id":"10.13039\/100022955","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61803134","62373191","62073111"],"award-info":[{"award-number":["61803134","62373191","62073111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2025,12]]},"abstract":"<jats:p> In this paper, the leader-following positive consensus (LFPC) issue of multi-agent systems (MASs) is systematically addressed. The study considers both fixed topology and mode-dependent minimum dwell time (MDMDT) switching topology. First, focusing on fixed topology, the study begins by utilizing positive systems theory to derive a condition that is both necessary and sufficient to ascertain that the specified closed-loop system qualifies as a positive system. Next, based on the constructed consensus error system and employing an appropriate linear co-positive Lyapunov function, the paper presents a sufficient condition for achieving LFPC. Consequently, the application of the matrix decomposition method to matrix K is executed, and a valid distributed consensus protocol design scheme is introduced in a solvable linear programming (LP) format to achieve LFPC. In the following section, the paper addresses the MDMDT switching topology. It presents a condition that is both necessary and sufficient for verifying that the closed-loop system operates as a positive system under MDMDT switching topology. Utilizing the constructed consensus error system and the discretized linear copositive Lyapunov function (DLCLF) method, the paper puts forward a sufficient condition for LFPC under this switching topology. Lastly, by utilizing matrix decomposition techniques to matrix [Formula: see text], a valid distributed consensus protocol design scheme is introduced in a mode-dependent piece-wise solvable LP format to ensure LFPC in the context of the MDMDT switching topology. Unlike general LMI-based approaches, the proposed LP-based distributed protocol scheme offers a simpler form of consensus conditions and lower computational complexity, making it easier to manage large-scale MASs. Ultimately, two examples are presented in the context of communication networks to demonstrate the effectiveness of the designed distributed protocol. <\/jats:p>","DOI":"10.1142\/s0218126625503426","type":"journal-article","created":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T03:22:40Z","timestamp":1745983360000},"source":"Crossref","is-referenced-by-count":1,"title":["Distributed Positive Consensus Protocol Design for Leader-Following Multi-Agent Systems under Fixed and MDMDT Switching Topologies"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3804-3068","authenticated-orcid":false,"given":"Shuo","family":"Li","sequence":"first","affiliation":[{"name":"School of Automation, Hangzhou Dianzi University, Hangzhou 310018, P.\u00a0R.\u00a0China"},{"name":"College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-4735-6824","authenticated-orcid":false,"given":"Yongqi","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Automation, Hangzhou Dianzi University, Hangzhou 310018, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0869-5471","authenticated-orcid":false,"given":"Zhengrong","family":"Xiang","sequence":"additional","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,6,18]]},"reference":[{"key":"S0218126625503426BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2800790"},{"key":"S0218126625503426BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TIV.2023.3316196"},{"key":"S0218126625503426BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3026017"},{"key":"S0218126625503426BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/TCSS.2025.3528515"},{"key":"S0218126625503426BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TCC.2024.3382351"},{"key":"S0218126625503426BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2023.3258625"},{"key":"S0218126625503426BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2023.3290429"},{"key":"S0218126625503426BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2691305"},{"key":"S0218126625503426BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.3007500"},{"key":"S0218126625503426BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2022.04.016"},{"key":"S0218126625503426BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110191"},{"key":"S0218126625503426BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2022.3152939"},{"key":"S0218126625503426BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.108799"},{"key":"S0218126625503426BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.12.072"},{"key":"S0218126625503426BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.07.027"},{"key":"S0218126625503426BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2024.3430550"},{"key":"S0218126625503426BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2020.100887"},{"key":"S0218126625503426BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2020.104665"},{"key":"S0218126625503426BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2023.3286416"},{"key":"S0218126625503426BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2023.10.014"},{"key":"S0218126625503426BIB021","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2024.3513892"},{"key":"S0218126625503426BIB022","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2294621"},{"key":"S0218126625503426BIB023","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2946205"},{"key":"S0218126625503426BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2022.06.009"},{"key":"S0218126625503426BIB025","first-page":"3845","volume":"71","author":"Fan T.","year":"2024","journal-title":"IEEE Trans. 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