{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:29:19Z","timestamp":1760149759142,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,8,26]],"date-time":"2023-08-26T00:00:00Z","timestamp":1693008000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Scientific Research Projects of Colleges and Universities of Henan Province","award":["21A110002"],"award-info":[{"award-number":["21A110002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The current paper considers discrete stochastic inertial neural networks (SINNs) with reaction diffusions. Firstly, we give the difference form of SINNs with reaction diffusions. Secondly, stochastic synchronization and passivity-based control frames of discrete time and space SINNs are newly formulated. Thirdly, by designing a boundary controller and constructing a Lyapunov-Krasovskii functional, we address decision theorems for stochastic synchronization and passivity-based control for the aforementioned discrete SINNs. Finally, to illustrate our main results, a numerical illustration is provided.<\/jats:p>","DOI":"10.3390\/axioms12090820","type":"journal-article","created":{"date-parts":[[2023,8,28]],"date-time":"2023-08-28T06:57:35Z","timestamp":1693205855000},"page":"820","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Boundary Controlling Synchronization and Passivity Analysis for Multi-Variable Discrete Stochastic Inertial Neural Networks"],"prefix":"10.3390","volume":"12","author":[{"given":"Yongyan","family":"Yang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Puyang Petrochemical Vocational and Techenical College, Puyang 457001, China"},{"name":"Department of Computer Science and Mathematics, Anyang University, Anyang 455131, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6777-1668","authenticated-orcid":false,"given":"Tianwei","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yunnan University, Kunming 650091, China"}]},{"given":"Zhouhong","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yuxi Normal University, Yuxi 653100, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ganesan, B., Mani, P., Shanmugam, L., and Annamalai, M. 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