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

Kashkynbayev, Ardak; Cao, Jinde; Damiyev, Zhaksybek

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dc.contributor.author	Kashkynbayev, Ardak
dc.contributor.author	Cao, Jinde
dc.contributor.author	Damiyev, Zhaksybek
dc.date.accessioned	2019-12-12T08:13:03Z
dc.date.available	2019-12-12T08:13:03Z
dc.date.issued	2019
dc.identifier.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	en_US
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/4429
dc.description	https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2321-z#rightslink	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	SpringerOpen	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Fuzzy shunting inhibitory cellular neural networks	en_US
dc.subject	Global exponential stability	en_US
dc.subject	Periodic solutions	en_US
dc.subject	Delay differential equations	en_US
dc.subject	Lyapunov functional	en_US
dc.subject	neural networks	en_US
dc.title	Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays	en_US
dc.type	Article	en_US
workflow.import.source	science