Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays

Ardak Kashkynbayev, Jinde Cao, Zhaksybek Damiyev

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number384
JournalAdvances in Difference Equations
Volume2019
Issue number1
DOIs
Publication statusPublished - Dec 1 2019

Keywords

  • Delay differential equations
  • Fuzzy shunting inhibitory cellular neural networks
  • Global exponential stability
  • Lyapunov functional
  • Periodic solutions

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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