Synchronization of fractional chaotic complex networks with delays

Jian-Bing Hu; Hua Wei; Ye-Feng Feng; Xiao-Bo Yang

Kybernetika (2019)

  • Volume: 55, Issue: 1, page 203-215
  • ISSN: 0023-5954

Abstract

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The synchronization of fractional-order complex networks with delay is investigated in this paper. By constructing a novel Lyapunov-Krasovskii function V and taking integer derivative instead of fractional derivative of the function, a sufficient criterion is obtained in the form of linear matrix inequalities to realize synchronizing complex dynamical networks. Finally, a numerical example is shown to illustrate the feasibility and effectiveness of the proposed method.

How to cite

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Hu, Jian-Bing, et al. "Synchronization of fractional chaotic complex networks with delays." Kybernetika 55.1 (2019): 203-215. <http://eudml.org/doc/294163>.

@article{Hu2019,
abstract = {The synchronization of fractional-order complex networks with delay is investigated in this paper. By constructing a novel Lyapunov-Krasovskii function $V$ and taking integer derivative instead of fractional derivative of the function, a sufficient criterion is obtained in the form of linear matrix inequalities to realize synchronizing complex dynamical networks. Finally, a numerical example is shown to illustrate the feasibility and effectiveness of the proposed method.},
author = {Hu, Jian-Bing, Wei, Hua, Feng, Ye-Feng, Yang, Xiao-Bo},
journal = {Kybernetika},
keywords = {fractional complex networks; delays; Lyapunov-Krasovskii theorem; synchronization},
language = {eng},
number = {1},
pages = {203-215},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Synchronization of fractional chaotic complex networks with delays},
url = {http://eudml.org/doc/294163},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Hu, Jian-Bing
AU - Wei, Hua
AU - Feng, Ye-Feng
AU - Yang, Xiao-Bo
TI - Synchronization of fractional chaotic complex networks with delays
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 1
SP - 203
EP - 215
AB - The synchronization of fractional-order complex networks with delay is investigated in this paper. By constructing a novel Lyapunov-Krasovskii function $V$ and taking integer derivative instead of fractional derivative of the function, a sufficient criterion is obtained in the form of linear matrix inequalities to realize synchronizing complex dynamical networks. Finally, a numerical example is shown to illustrate the feasibility and effectiveness of the proposed method.
LA - eng
KW - fractional complex networks; delays; Lyapunov-Krasovskii theorem; synchronization
UR - http://eudml.org/doc/294163
ER -

References

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