{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T06:11:12Z","timestamp":1774419072028,"version":"3.50.1"},"reference-count":52,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T00:00:00Z","timestamp":1774224000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Shandong Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["ZR2024QF255"],"award-info":[{"award-number":["ZR2024QF255"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Yantai Science and Technology Innovation Development Plan","award":["2024YT06000226"],"award-info":[{"award-number":["2024YT06000226"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper is concerned with the leader-following consensus of time-delay multi-agent systems (MASs) with stochastic perturbation over a directed network. Different from existing literature subject to the conventional Lipschitz condition, the one-sided Lipschitz nonlinear MASs with delay are discussed. First, to address the challenge, in combination with current and delay information, the composite control law is constructed. By employing the Lyapunov function and using the It\u00f4 formula, this proves that the followers can eventually track the leader. Second, in the presence of external disturbance, sufficient conditions are established for the H-infinity leader-following consensus of one-sided Lipschitz nonlinear stochastic MASs. Further, the method to handle the one-sided Lipschitz nonlinearities is directly applicable to the stochastic MASs with conventional Lipschitz nonlinear dynamics, and the corresponding results are easily obtained. Finally, the relationship between one-sided Lipschitz scalars and time-delay parameters are presented, and the simulation results are given to verify the theoretical algorithms.<\/jats:p>","DOI":"10.3390\/axioms15030240","type":"journal-article","created":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T15:54:53Z","timestamp":1774281293000},"page":"240","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Leader-Following Consensus of One-Sided Lipschitz Multi-Agent Systems with Delay and Stochastic Perturbation"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3913-042X","authenticated-orcid":false,"given":"Tuo","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264005, China"},{"name":"Key Laboratory of Sensing Technology and Control in Universities of Shandong, Shandong Technology and Business University, Yantai 264005, China"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"131536","DOI":"10.1016\/j.energy.2024.131536","article-title":"Coordinated discrete-time super-twisting sliding mode controller coupled with time-delay estimator for PWR-based nuclear steam supply system","volume":"301","author":"Hui","year":"2024","journal-title":"Energy"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"131767","DOI":"10.1016\/j.energy.2024.131767","article-title":"Discrete-time sliding mode prescribed performance controller via Kalman filter and disturbance observer for load following of a pressurized water reactor","volume":"302","author":"Hui","year":"2024","journal-title":"Energy"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2300","DOI":"10.1109\/JAS.2023.123483","article-title":"Resilient event-triggered control of connected automated vehicles under cyber attacks","volume":"10","author":"Zhao","year":"2023","journal-title":"IEEE\/CAA J. 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