Practical Exponential Stability of Impulsive Stochastic Reaction-Diffusion Systems With Delays.

Journal: IEEE transactions on cybernetics
Published Date: May 19, 2022

Abstract

This article studies the practical exponential stability of impulsive stochastic reaction-diffusion systems (ISRDSs) with delays. First, a direct approach and the Lyapunov method are developed to investigate the p th moment practical exponential stability and estimate the convergence rate. Note that these two methods can also be used to discuss the exponential stability of systems in certain conditions. Then, the practical stability results are successfully applied to the impulsive reaction-diffusion stochastic Hopfield neural networks (IRDSHNNs) with delays. By the illustration of four numerical examples and their simulations, our results in this article are proven to be effective in dealing with the problem of practical exponential stability of ISRDSs with delays, and may be regarded as stabilization results.

Authors

  • Qi Yao
    Department of Pharmacy The First People's Hospital of Yunnan Province, The Affiliated Hospital of Kunming University of Science and Technology Kunming China.
  • Ping Lin
    Department of Geriatrics, The Third Hospital of Hangzhou, Hangzhou, Zhejiang, China.
  • Linshan Wang
    School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China. Electronic address: wangls@ouc.edu.cn.
  • Yangfan Wang
    Ministry of Education Key Laboratory of Marine Genetics and Breeding, Ocean University of China, Qingdao, China.

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