文章基本信息

标题：Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays
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作者：Ardak Kashkynbayev ; Jinde Cao ; Zhaksybek Damiyev 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-19
DOI：10.1186/s13662-019-2321-z
出版社：Hindawi Publishing Corporation
摘要：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.
关键词：Fuzzy shunting inhibitory cellular neural networks;Global exponential stability;Periodic solutions;Delay differential equations;Lyapunov functional