Geodesic
Synchronization of time-delayed systems with discontinuous coupling
Kybernetika, Tome 53 (2017) no. 5, pp. 765-779.

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This paper concerns the synchronization of time-delayed systems with periodic on-off coupling. Based on the stability theory and the comparison theorem of time-delayed differential equations, sufficient conditions for complete synchronization of systems with constant delay and time-varying delay are established. Compared with the results based on the Krasovskii-Lyapunov method, the sufficient conditions established in this paper are less restrictive. The theoretical results show that two time-delayed systems can achieve complete synchronization when the average coupling strength is sufficiently large. Numeric evidence shows that the synchronization speed depends on the coupling strength, on-off rate and time delay.
DOI : 10.14736/kyb-2017-5-0765
Classification : 34F05, 34H10
Keywords: time-delayed system; complete synchronization; discontinuous coupling 
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Shi, Hong-jun; Miao, Lian-ying; Sun, Yong-zheng. Synchronization of time-delayed systems with discontinuous coupling. Kybernetika, Tome 53 (2017) no. 5, pp. 765-779. doi : 10.14736/kyb-2017-5-0765. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0765/

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