Stability analysis and absolute synchronization of a three-unit delayed neural network

Lin Jun Wang; You Xiang Xie; Zhou Chao Wei; Jian Peng

Kybernetika (2015)

  • Volume: 51, Issue: 5, page 800-813
  • ISSN: 0023-5954

Abstract

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In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.

How to cite

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Wang, Lin Jun, et al. "Stability analysis and absolute synchronization of a three-unit delayed neural network." Kybernetika 51.5 (2015): 800-813. <http://eudml.org/doc/276069>.

@article{Wang2015,
abstract = {In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.},
author = {Wang, Lin Jun, Xie, You Xiang, Wei, Zhou Chao, Peng, Jian},
journal = {Kybernetika},
keywords = {absolute synchronization; delay; linear stability; neural network},
language = {eng},
number = {5},
pages = {800-813},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Stability analysis and absolute synchronization of a three-unit delayed neural network},
url = {http://eudml.org/doc/276069},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Wang, Lin Jun
AU - Xie, You Xiang
AU - Wei, Zhou Chao
AU - Peng, Jian
TI - Stability analysis and absolute synchronization of a three-unit delayed neural network
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 5
SP - 800
EP - 813
AB - In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
LA - eng
KW - absolute synchronization; delay; linear stability; neural network
UR - http://eudml.org/doc/276069
ER -

References

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