{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:45:30Z","timestamp":1760060730502,"version":"build-2065373602"},"reference-count":40,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T00:00:00Z","timestamp":1758326400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Fundamental Research Funds for the Central Universities","award":["2572022BC04","2572022BC05"],"award-info":[{"award-number":["2572022BC04","2572022BC05"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff\u2019s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to topological structure and the Lyapunov function of each node system of SCNCS. Combining Lyapunov method and stochastic analysis skills, some sufficient criteria are provided to ensure SCNCS to satisfy IOS. In order to further analyze and verify the validity of our theoretical results, the results are applied to a class of stochastic Lurie coupled control systems on networks (SLCCSN) and the numerical test is performed.<\/jats:p>","DOI":"10.3390\/axioms14090710","type":"journal-article","created":{"date-parts":[[2025,9,22]],"date-time":"2025-09-22T12:08:03Z","timestamp":1758542883000},"page":"710","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Input-to-Output Stability for Stochastic Complex Networked Control Systems"],"prefix":"10.3390","volume":"14","author":[{"given":"Xuexin","family":"Li","sequence":"first","affiliation":[{"name":"Institute of Cold Regions Science and Engineering, Northeast Forestry University, Harbin 150040, China"},{"name":"Department of Mathematics, Northeast Forestry University, Harbin 150040, China"}]},{"given":"Shang","family":"Gao","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Northeast Forestry University, Harbin 150040, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,9,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1109\/MNET.011.2000537","article-title":"Internet of things as complex networks","volume":"35","author":"Wu","year":"2021","journal-title":"IEEE Netw."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/j.chaos.2017.06.012","article-title":"Periodic solutions of discrete time periodic time-varying coupled systems on networks","volume":"103","author":"Gao","year":"2017","journal-title":"Chaos Solitons Fractals"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.ins.2023.01.084","article-title":"Consensus reaching for social network group decision making with ELICIT information: A perspective from the complex network","volume":"627","author":"Hua","year":"2023","journal-title":"Inf. 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