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

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dc.contributor.authorKashkynbayev, Ardak
dc.contributor.authorCao, Jinde
dc.contributor.authorDamiyev, Zhaksybek
dc.date.accessioned2019-12-12T08:13:03Z
dc.date.available2019-12-12T08:13:03Z
dc.date.issued2019
dc.descriptionhttps://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2321-z#rightslinken_US
dc.description.abstractWe 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.identifier.citationKashkynbayev, 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-zen_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4429
dc.language.isoenen_US
dc.publisherSpringerOpenen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectFuzzy shunting inhibitory cellular neural networksen_US
dc.subjectGlobal exponential stabilityen_US
dc.subjectPeriodic solutionsen_US
dc.subjectDelay differential equationsen_US
dc.subjectLyapunov functionalen_US
dc.subjectneural networksen_US
dc.titleStability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delaysen_US
dc.typeArticleen_US
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