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

• Main Authors: Ardak Kashkynbayev, Jinde Cao, Zhaksybek Damiyev
• Format: Article
• Language: English
• Published: SpringerOpen 2019-09-01
• Series: Advances in Difference Equations
• Subjects: Fuzzy shunting inhibitory cellular neural networks; Global exponential stability; Periodic solutions; Delay differential equations; Lyapunov functional
• Online Access: http://link.springer.com/article/10.1186/s13662-019-2321-z

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.