Synchronization of fractional-order chaotic systems with multiple delays by a new approach

Jianbing Hu; Hua Wei; Lingdong Zhao

Kybernetika (2015)

  • Volume: 51, Issue: 6, page 1068-1083
  • ISSN: 0023-5954

Abstract

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In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.

How to cite

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Hu, Jianbing, Wei, Hua, and Zhao, Lingdong. "Synchronization of fractional-order chaotic systems with multiple delays by a new approach." Kybernetika 51.6 (2015): 1068-1083. <http://eudml.org/doc/276319>.

@article{Hu2015,
abstract = {In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.},
author = {Hu, Jianbing, Wei, Hua, Zhao, Lingdong},
journal = {Kybernetika},
keywords = {fractional-order; multiple delays; Lyapunov stable theorem; synchronization; unknown parameters},
language = {eng},
number = {6},
pages = {1068-1083},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Synchronization of fractional-order chaotic systems with multiple delays by a new approach},
url = {http://eudml.org/doc/276319},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Hu, Jianbing
AU - Wei, Hua
AU - Zhao, Lingdong
TI - Synchronization of fractional-order chaotic systems with multiple delays by a new approach
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 6
SP - 1068
EP - 1083
AB - In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.
LA - eng
KW - fractional-order; multiple delays; Lyapunov stable theorem; synchronization; unknown parameters
UR - http://eudml.org/doc/276319
ER -

References

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