Synchronization of time-delayed systems with discontinuous coupling

Hong-jun Shi; Lian-ying Miao; Yong-zheng Sun

Kybernetika (2017)

  • Volume: 53, Issue: 5, page 765-779
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Shi, Hong-jun, Miao, Lian-ying, and Sun, Yong-zheng. "Synchronization of time-delayed systems with discontinuous coupling." Kybernetika 53.5 (2017): 765-779. <http://eudml.org/doc/294599>.

@article{Shi2017,
abstract = {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.},
author = {Shi, Hong-jun, Miao, Lian-ying, Sun, Yong-zheng},
journal = {Kybernetika},
keywords = {time-delayed system; complete synchronization; discontinuous coupling},
language = {eng},
number = {5},
pages = {765-779},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Synchronization of time-delayed systems with discontinuous coupling},
url = {http://eudml.org/doc/294599},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Shi, Hong-jun
AU - Miao, Lian-ying
AU - Sun, Yong-zheng
TI - Synchronization of time-delayed systems with discontinuous coupling
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 5
SP - 765
EP - 779
AB - 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.
LA - eng
KW - time-delayed system; complete synchronization; discontinuous coupling
UR - http://eudml.org/doc/294599
ER -

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