{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,19]],"date-time":"2024-07-19T15:55:25Z","timestamp":1721404525971},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,2]]},"abstract":"<jats:p> In this paper, we propose a method to research lag synchronization of the identical master-slave chaotic Lur'e systems via replacing variables control with time delay. By means of absolute stability theory, we prove two types of sufficient conditions for the lag synchronization: Lur'e criterion and frequency domain criterion. Based on the criteria, we suggest an optimization scheme to design the control variables. Applying the scheme to general Chua's circuits, we obtain the parameter ranges in which the master-slave Chua's circuits laggingly synchronize or not by varied single-variable control. Finally, we cite the examples by illustration of the results. <\/jats:p>","DOI":"10.1142\/s021812740501220x","type":"journal-article","created":{"date-parts":[[2005,5,10]],"date-time":"2005-05-10T11:32:19Z","timestamp":1115724739000},"page":"617-635","source":"Crossref","is-referenced-by-count":20,"title":["LAG SYNCHRONIZATION OF CHAOTIC LUR'E SYSTEMS VIA REPLACING VARIABLES CONTROL"],"prefix":"10.1142","volume":"15","author":[{"given":"XIAOFENG","family":"WU","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China"},{"name":"Guangzhou Navy Academy, Guangzhou 510430, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YI","family":"ZHAO","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SHENG","family":"ZHOU","sequence":"additional","affiliation":[{"name":"Guangzhou Navy Academy, Guangzhou 510430, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Absolute Stability of Regulator Systems","author":"Aizerman M. A.","year":"1964"},{"key":"rf2","doi-asserted-by":"crossref","first-page":"6735","DOI":"10.1103\/PhysRevA.46.6735","volume":"46","author":"Badola P.","journal-title":"Phys. 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F.","journal-title":"Phys. Lett."},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497000467"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/81.633878"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/81.641776"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001059"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498001078"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/81.774230"},{"key":"rf20","doi-asserted-by":"crossref","unstructured":"J. A. K.\u00a0Suykens, M.\u00a0Yalcin and J.\u00a0Vandewalle, Chaos and Bifurcation Control: Theory and Application, Lecture Notes in Control and Information Sciences\u00a0292, eds. G.\u00a0Chen and X.\u00a0Yu (Springer-Verlag, 2003)\u00a0pp. 117\u2013135.","DOI":"10.1007\/978-3-540-44986-7_6"},{"key":"rf21","volume-title":"Theory & Application of Absolute Stability","author":"Xie H.","year":"1986"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740100295X"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1109\/81.633887"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812740501220X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:07:21Z","timestamp":1565136441000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812740501220X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,2]]},"references-count":22,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,2]]}},"alternative-id":["10.1142\/S021812740501220X"],"URL":"https:\/\/doi.org\/10.1142\/s021812740501220x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,2]]}}}