ψ-type stability of reaction-diffusion neural networks with time-varying discrete delays and bounded distributed delays

摘要

In this paper, the psi-type stability and robust psi-type stability for reaction-diffusion neural networks (RDNNs) with Dirichlet boundary conditions, time-varying discrete delays and bounded distributed delays are investigated, respectively. Firstly, we analyze the psi-type stability and robust psi-type stability of RDNNs with time-varying discrete delays by means of psi-type functions combined with some inequality techniques, and put forward several psi-type stability criteria for the considered networks. Additionally, the models of RDNNs with bounded distributed delays are established and some sufficient conditions to guarantee the psi-type stability and robust psi-type stability are given. Lastly, two examples are provided to confirm the effectiveness of the derived results. (C) 2019 Elsevier B.V. All rights reserved.