{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T18:19:07Z","timestamp":1755800347972,"version":"3.44.0"},"reference-count":30,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2025,5,10]],"date-time":"2025-05-10T00:00:00Z","timestamp":1746835200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["NSFC-62473281"],"award-info":[{"award-number":["NSFC-62473281"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100019062","name":"Tianjin Research Innovation Project for Postgraduate Students","doi-asserted-by":"publisher","award":["2022SKY079"],"award-info":[{"award-number":["2022SKY079"]}],"id":[{"id":"10.13039\/501100019062","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,5,10]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper proposes a novel feedback control design for a one-dimensional non-linear stochastic reaction\u2013diffusion system subject to non-local measurement. The system is first divided into finite-dimensional and infinite-dimensional parts by the modal decomposition techniques. A finite-dimensional Luenberger-type observer is proposed to estimate the state of the system, based on which an observer-based feedback control strategy is developed to stabilize the system despite the presence of stochastic noise with any potentially large bound. The closed-loop system is shown to be well-posed. The mean-square exponential stability of the closed-loop system is demonstrated by the Lyapunov approach together with It\u00f4\u2019s formula under certain conditions. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed control design.<\/jats:p>","DOI":"10.1093\/imamci\/dnaf011","type":"journal-article","created":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T08:32:10Z","timestamp":1747384330000},"source":"Crossref","is-referenced-by-count":0,"title":["Output feedback control for non-linear stochastic reaction\u2013diffusion system via modal decomposition techniques"],"prefix":"10.1093","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-1427-6231","authenticated-orcid":false,"given":"Kai","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and KL-AAGDM , Tianjin University, Tianjin 300354 ,","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6114-6976","authenticated-orcid":false,"given":"Zhong-Jie","family":"Han","sequence":"additional","affiliation":[{"name":"School of Mathematics and KL-AAGDM , Tianjin University, Tianjin 300354 ,","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-6408-4477","authenticated-orcid":false,"given":"Xiangyang","family":"Peng","sequence":"additional","affiliation":[{"name":"School of Intelligence Science and Engineering and the Guangdong Key Laboratory of Intelligent Morphing Mechanisms and Adaptive Robotics , Harbin Institute of Technology (Shenzhen), Shenzhen 518055 ,","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2025,5,16]]},"reference":[{"key":"2025082006370096000_ref1","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1007\/BF00932903","article-title":"Active control of flexible systems","volume":"25","author":"Balas","year":"1978","journal-title":"J. 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