{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T20:27:42Z","timestamp":1692563262567},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,8]]},"abstract":"<jats:p> It has been known that very complex chaotic behaviors can be observed in a simple first-order system with time-delay. This paper presents a fuzzy model-based approach for synchronization of time-delayed chaotic system via a scalar output variable. Takagi\u2013Sugeno (T\u2013S) fuzzy model can represent a general class of nonlinear system and we employ it for fuzzy modeling of the chaotic drive and response system with time-delay. Since only a scalar output variable is available for synchronization, a fuzzy observer based on T\u2013S fuzzy model is designed and applied to chaotic synchronization. We analyze the stability of the overall fuzzy synchronization system by applying Lyapunov\u2013Krasovskii theory and derive stability conditions by solving linear matrix inequalities (LMI's) problem. A numerical example is given to demonstrate the validity of the proposed synchronization approach. <\/jats:p>","DOI":"10.1142\/s0218127405013538","type":"journal-article","created":{"date-parts":[[2005,9,29]],"date-time":"2005-09-29T09:34:54Z","timestamp":1127986494000},"page":"2593-2601","source":"Crossref","is-referenced-by-count":5,"title":["SYNCHRONIZATION OF TIME-DELAYED T\u2013S FUZZY CHAOTIC SYSTEMS VIA SCALAR OUTPUT VARIABLE"],"prefix":"10.1142","volume":"15","author":[{"given":"JAE-HUN","family":"KIM","sequence":"first","affiliation":[{"name":"Intelligent Control System Laboratory, Department of Electrical and Electronic Engineering, Yonsei University, 134 Shinchon-dong, Sudaemoon-gu, Seoul, 120-749, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HYUNSEOK","family":"SHIN","sequence":"additional","affiliation":[{"name":"Intelligent Control System Laboratory, Department of Electrical and Electronic Engineering, Yonsei University, 134 Shinchon-dong, Sudaemoon-gu, Seoul, 120-749, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"EUNTAI","family":"KIM","sequence":"additional","affiliation":[{"name":"Intelligent Control System Laboratory, Department of Electrical and Electronic Engineering, Yonsei University, 134 Shinchon-dong, Sudaemoon-gu, Seoul, 120-749, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MIGNON","family":"PARK","sequence":"additional","affiliation":[{"name":"Intelligent Control System Laboratory, Department of Electrical and Electronic Engineering, Yonsei University, 134 Shinchon-dong, Sudaemoon-gu, Seoul, 120-749, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"200","volume":"8","author":"Cao Y. 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Fuzzy Syst."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405013538","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:04:16Z","timestamp":1565190256000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405013538"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8]]},"references-count":16,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,8]]}},"alternative-id":["10.1142\/S0218127405013538"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405013538","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8]]}}}