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

Jie Hou, Yanli Huang, Erfu Yang

Research output: Contribution to journalArticle

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.

LanguageEnglish
Pages281-293
Number of pages13
JournalNeurocomputing
Volume340
Early online date6 Mar 2019
DOIs
Publication statusPublished - 7 May 2019

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Neural networks
Stability criteria
Boundary conditions

Keywords

  • bounded distributed delays
  • reaction–diffusion neural networks
  • time-varying discrete delays
  • ψ-type stability

Cite this

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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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ψ-type stability of reaction–diffusion neural networks with time-varying discrete delays and bounded distributed delays. / Hou, Jie; Huang, Yanli; Yang, Erfu.

In: Neurocomputing, Vol. 340, 07.05.2019, p. 281-293.

Research output: Contribution to journalArticle

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