Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

Author:

Kashkynbayev Ardak1,Koptileuova Moldir1,Issakhanov Alfarabi2,Cao Jinde34

Affiliation:

1. Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, Kazakhstan

2. Institute of Mathematics and Mathematical Modeling, Almaty 050010, Kazakhstan

3. School of Mathematics, Southeast University, Nanjing 210096, China

4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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