Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays


Kashkynbayev A. Koptileuova M. Issakhanov A. Cao J.
2022American Institute of Mathematical Sciences

AIMS Mathematics
2022#7Issue 711813 - 11828 pp.

In the present paper, we prove the existence of unique almost periodic solutions to fuzzy shunting inhibitory cellular neural networks (FSICNN) with several delays. Further, by means of Halanay inequality we analyze the global exponential stability of these solutions and obtain corresponding convergence rate. The results of this paper are new, and they are concluded with numerical simulations confirming them.

almost periodic function , delay differential equations , fuzzy logic , global stability , shunting inhibitory cellular neural networks

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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
School of Mathematics, Southeast University, Nanjing, 210096, China
Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea

Department of Mathematics
Institute of Mathematics and Mathematical Modeling
School of Mathematics
Yonsei Frontier Lab

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