Kashkynbayev, ArdakCao, JindeDamiyev, Zhaksybek2019-12-122019-12-122019Kashkynbayev, A., Cao, J., & Damiyev, Z. (2019). Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays. Advances in Difference Equations, 2019(1). https://doi.org/10.1186/s13662-019-2321-zhttp://nur.nu.edu.kz/handle/123456789/4429https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2321-z#rightslinkWe 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.enAttribution-NonCommercial-ShareAlike 3.0 United StatesFuzzy shunting inhibitory cellular neural networksGlobal exponential stabilityPeriodic solutionsDelay differential equationsLyapunov functionalneural networksArticle