{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T02:02:55Z","timestamp":1768010575561,"version":"3.49.0"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,9]]},"abstract":"<jats:p>This paper considers the synchronization problem for nonlinear systems with time-delay couplings. We assume that the error dynamics can be rewritten as a feedback connection of a linear delay system with multiple inputs and outputs and nonlinear elements which are decentralized and satisfy a sector condition. Then, we derive a synchronization condition for time-delay coupled systems by applying the multivariable circle criterion. Unlike the conventional synchronization criteria, the derived criterion is based on a frequency-domain stability condition and avoids the use of the Lyapunov\u2013Krasovskii approach. As a result, the condition based on the circle criterion does not contain the conservativeness caused by the Lyapunov\u2013Krasovskii approach. The effectiveness of the proposed criterion is shown by examples of coupled Chua systems with delay coupling.<\/jats:p>","DOI":"10.1142\/s0218127411029902","type":"journal-article","created":{"date-parts":[[2011,7,12]],"date-time":"2011-07-12T09:19:23Z","timestamp":1310462363000},"page":"2525-2538","source":"Crossref","is-referenced-by-count":16,"title":["A SYNCHRONIZATION CONDITION FOR COUPLED NONLINEAR SYSTEMS WITH TIME-DELAY: A FREQUENCY DOMAIN APPROACH"],"prefix":"10.1142","volume":"21","author":[{"given":"TOSHIKI","family":"OGUCHI","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1, Minami-Osawa, Hachioji-shi, Tokyo 192-0397, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HENK","family":"NIJMEIJER","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Eindhoven University of Technology, P. O. 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