{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T16:10:49Z","timestamp":1780589449424,"version":"3.54.1"},"reference-count":46,"publisher":"SAGE Publications","issue":"13","license":[{"start":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T00:00:00Z","timestamp":1649116800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2019MF020"],"award-info":[{"award-number":["ZR2019MF020"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62172264"],"award-info":[{"award-number":["62172264"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:p>Fuzzy cognitive maps (FCMs) are a kind of cognitive model for knowledge representation and causal inference. Meanwhile, as fuzzy dynamical systems, FCMs have also been widely applied in the control-related fields, such as mobile robots, unmanned aerial vehicles (UAVs), and industrial controls. However, the existing works mainly focused on the practical applications but lacked the necessary theoretical discussions related to the FCM-based control mechanism. As is known, stabilization is one of the fundamental issues in the control fields. Till date, rigorous research on the stabilization of FCMs is still an issue to be studied. In this article, using state feedback control method, the global stabilizations of finite-state FCMs are investigated. First, utilizing the semi-tensor product (STP) of matrices, the algebraic expression of FCM can be derived. Some theorems ensure the sufficient condition for the existence of the state feedback controller of the global stabilization. Second, the constructive design processes of state feedback controllers are discussed in detail. Third, the global stabilization is further extended into partial stabilization, where only specific concepts of FCMs can be stabilized. The corresponding theoretical analysis is implemented. Finally, the effectiveness of the proposed methods is verified by several examples.<\/jats:p>","DOI":"10.1177\/01423312221085785","type":"journal-article","created":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T07:41:08Z","timestamp":1649144468000},"page":"2485-2499","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["The feedback stabilization of finite-state fuzzy cognitive maps"],"prefix":"10.1177","volume":"44","author":[{"given":"Wang","family":"Xiaojie","sequence":"first","affiliation":[{"name":"School of Information Science and Engineering, Shandong Normal University, Jinan, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0925-5988","authenticated-orcid":false,"given":"Luo","family":"Chao","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Shandong Normal University, Jinan, China"},{"name":"Shandong Provincial Key Laboratory for Novel Distributed Computer Software Technology, Jinan, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lv","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Shandong Normal University, Jinan, China"},{"name":"Shandong Provincial Key Laboratory for Novel Distributed Computer Software Technology, Jinan, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2022,4,5]]},"reference":[{"key":"bibr1-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2011.2159799"},{"issue":"4","key":"bibr2-01423312221085785","doi-asserted-by":"crossref","first-page":"1372","DOI":"10.1109\/TCBB.2018.2890261","volume":"17","author":"Amirkhani A","year":"2018","journal-title":"IEEE\/ACM Transactions on Computational Biology and Bioinformatics"},{"key":"bibr3-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.05.032"},{"key":"bibr4-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-020-00940-8"},{"key":"bibr5-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1002\/int.22626"},{"key":"bibr6-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2015.11.007"},{"key":"bibr7-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2019.12.011"},{"key":"bibr8-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1515\/9781400871957"},{"key":"bibr9-01423312221085785","doi-asserted-by":"publisher","DOI":"10.3390\/en11030495"},{"key":"bibr10-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1002\/er.7358"},{"key":"bibr11-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-07064-3_47"},{"key":"bibr12-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2017519"},{"key":"bibr13-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1109\/9.867021"},{"key":"bibr14-01423312221085785","volume-title":"Analysis and Control of Boolean Networks: A Semi-Tensor Product Approach","author":"Cheng D","year":"2010"},{"key":"bibr15-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.2973853"},{"key":"bibr16-01423312221085785","first-page":"1250","volume-title":"International conference on intelligent and fuzzy systems","author":"Denizci A","year":"2020"},{"key":"bibr17-01423312221085785","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-18819-1_1"},{"key":"bibr18-01423312221085785","doi-asserted-by":"crossref","unstructured":"Georgopoulos VC, Stylios CD (2017) Fuzzy cognitive maps for decision making in triage of non-critical elderly patients. 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