Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays
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Date
2019
Authors
Kashkynbayev, Ardak
Cao, Jinde
Damiyev, Zhaksybek
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen
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.
Description
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2321-z#rightslink
Keywords
Fuzzy shunting inhibitory cellular neural networks, Global exponential stability, Periodic solutions, Delay differential equations, Lyapunov functional, neural networks
Citation
Kashkynbayev, 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-z