JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (8): 103-110.doi: 10.6040/j.issn.1671-9352.0.2021.618

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Stability of the bidirectional ring networks with multiple time delays and multiple parameters

PANG Yu-ting, ZHAO Dong-xia*, BAO Fang-xia   

  1. School of Science, North University of China, Taiyuan 030051, Shanxi, China
  • Online:2022-08-20 Published:2022-06-29

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Abstract: The dynamic analysis of the four-neuron ring neural network with multiple time delays and multiple parameters is carried out. Firstly, the system is linearized near the trivial solution, and the characteristic equation of the system is obtained. Then the characteristic equation is factorized into four first-order exponential polynomials. Furthermore, by using the zero-point distribution property of exponential polynomial, sufficient conditions for the delay-dependent and delay-independent stability are established. Moreover, an exhaustive comparison analysis is made between the results obtained and those in the existing literature. Finally, some numerical simulations are presented to show the effectiveness and superiority of the results.

Key words: bidirectional ring neural network, multiple time delays, exponential polynomial, stability

CLC Number: 

  • O175.13
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