JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (10): 67-74.doi: 10.6040/j.issn.1671-9352.0.2023.157

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Exponential stability of reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions

Lei LI1,2(),Yongsheng YE2,*()   

  1. 1. School of Mathematics, Hohai University, Nanjing 211100, Jiangsu, China
    2. College of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, Anhui, China
  • Received:2023-04-16 Online:2023-10-20 Published:2023-10-17
  • Contact: Yongsheng YE E-mail:llei0910@163.com;yeys@chnu.edu.cn

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Abstract:

By constructing a suitable Lyapunov functional and combining it with mathematical analysis techniques, we discuss the exponential stability of impulsive time delay reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions and Markovian switching. Some sufficient criteria for exponential stability of neural networks are obtained by using the inequality technique and stochastic analysis theory. Finally, an example is given to verify the validity of the results.

Key words: Markovian switching, impulsive, time delay, reaction-diffusion neural network, exponential stability

CLC Number: 

  • O175

Fig.1

Trajectory simulation results of system (3)"

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