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  • 标题:Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays
  • 本地全文:下载
  • 作者:Ardak Kashkynbayev ; Jinde Cao ; Zhaksybek Damiyev
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-19
  • DOI:10.1186/s13662-019-2321-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider fuzzy shunting inhibitory cellular neural networks (FSICNNs) with time-varying coefficients and constant delays. By virtue of continuation theorem of coincidence degree theory and Cauchy–Schwartz inequality, we prove the existence of periodic solutions for FSICNNs. Furthermore, by employing a suitable Lyapunov functional we establish sufficient criteria which ensure global exponential stability of the periodic solutions. Numerical simulations that support the theoretical discussions are depicted.
  • 关键词:Fuzzy shunting inhibitory cellular neural networks;Global exponential stability;Periodic solutions;Delay differential equations;Lyapunov functional
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