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

Hou, Jie and Huang, Yanli and Yang, Erfu (2019) ψ-type stability of reaction–diffusion neural networks with time-varying discrete delays and bounded distributed delays. Neurocomputing, 340. pp. 281-293. ISSN 0925-2312 (https://doi.org/10.1016/j.neucom.2019.02.058)

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Abstract

In this paper, the ψ-type stability and robust ψ-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 ψ-type stability and robust ψ-type stability of RDNNs with time-varying discrete delays by means of ψ-type functions combined with some inequality techniques, and put forward several ψ-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 ψ-type stability and robust ψ-type stability are given. Lastly, two examples are provided to confirm the effectiveness of the derived results.

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