{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T10:16:53Z","timestamp":1770891413609,"version":"3.50.1"},"reference-count":28,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T00:00:00Z","timestamp":1761523200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62573418"],"award-info":[{"award-number":["62573418"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62203448"],"award-info":[{"award-number":["62203448"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62273350"],"award-info":[{"award-number":["62273350"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"crossref","award":["2023M732968"],"award-info":[{"award-number":["2023M732968"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"crossref","award":["2024T170751"],"award-info":[{"award-number":["2024T170751"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2026,2]]},"abstract":"<jats:p>This paper investigates the state estimation problem for a class of two time-scale cyber-physical systems. A binary symmetric channel (BSC) associated with the binary encoding transmission (BCT) scheme is highlighted to enhance the reliability of data transmission. While binary bit strings are being transmitted through memoryless BSC, random error codes due to channel noise may occur. In light of this, a novel BCT-based state estimator is put forth, guaranteeing that the estimation error exponentially ultimately bounded in the mean square sense. To alleviate the numerical stiffness resulting from the two-time-scale property, a novel parameter-based Lyapunov function is developed, along with corresponding parameter-based criteria. Finally, a simulation example is provided to confirm that the theoretical results are valid.<\/jats:p>","DOI":"10.1177\/09596518251383214","type":"journal-article","created":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T05:48:01Z","timestamp":1761630481000},"page":"325-333","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["State estimation of two-time-scale CPS with binary coding strategy with application to the nuclear reactor"],"prefix":"10.1177","volume":"240","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8669-5613","authenticated-orcid":false,"given":"Lei","family":"Ma","sequence":"first","affiliation":[{"name":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"},{"name":"Xuzhou Mining Group Co., Ltd, Xuzhou, China"}]},{"given":"Li","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"}]},{"given":"Guoqing","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"}]},{"given":"Chunyu","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"}]}],"member":"179","published-online":{"date-parts":[[2025,10,27]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1177\/01423312231196642"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/JAS.2025.125327"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1177\/01423312241239207"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2022.3223221"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1177\/0142331220952302"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1177\/1475921720918374"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2022.3153489"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2023.3251857"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.7867"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2022.3159370"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2025.2456001"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2024.2448775"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2023.3348752"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2996579"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3521281"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2023.3348432"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2022.05.035"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3397914"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2024.10.005"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1177\/01423312241239213"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2023.119084"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3496573"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2024.3474016"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.6999"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3378776"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2023.111268"},{"issue":"2","key":"e_1_3_2_28_2","first-page":"5329","article-title":"Brief survey on attack detection methods for cyber-physical systems","volume":"49","author":"Tan S","year":"2020","unstructured":"Tan S, Guerrero JM, Xie P, et al. Brief survey on attack detection methods for cyber-physical systems. Automatica 2020; 49(2): 5329\u20135339.","journal-title":"Automatica"},{"key":"e_1_3_2_29_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-015-0165-7"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518251383214","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/09596518251383214","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518251383214","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T09:18:32Z","timestamp":1770887912000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/09596518251383214"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,27]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["10.1177\/09596518251383214"],"URL":"https:\/\/doi.org\/10.1177\/09596518251383214","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,27]]}}}