Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays-Reference-Cited by-同舟云学术

Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

Published:2022 Issue:7 Volume:7 Page:11813-11828
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

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

Reference38 articles.

1. A. Bouzerdoum, R. B. Pinter, Shunting inhibitory cellular neural networks: Derivation and stability analysis, IEEE T. Circuits Syst. I: Fundam. Theory Appl., 40 (1993), 215–221.

2. F. Pasemann, M. Hild, K. Zahedi, SO(2)-networks as neural oscillators, In: J. Mira, J. R. Álvarez, Computational methods in neural modeling, IWANN 2003, Lecture Notes in Computer Science, Springer, 2686 (2003), 144–151. https://doi.org/10.1007/3-540-44868-3_19

3. J. Cao, Global asymptotic stability of neural networks with transmission delays, Int. J. Syst. Sci., 31 (2000), 1313–1316. https://doi.org/10.1080/00207720050165807

4. A. Kashkynbayev, J. Cao, Z. Damiyev, Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays, Adv. Differ. Equ., 2019 (2019), 384. https://doi.org/10.1186/s13662-019-2321-z

5. J. Cao, Periodic solutions and exponential stability in delayed cellular neural networks, Phys. Rev. E, 60 (1999), 3244. https://doi.org/10.1103/PhysRevE.60.3244

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New results on synchronization control of memristor-based quaternion-valued fuzzy neural networks with delayed impulses;Fuzzy Sets and Systems;2024-05

2. Robust fixed‐time synchronization of fuzzy shunting‐inhibitory cellular neural networks with feedback and adaptive control;International Journal of Adaptive Control and Signal Processing;2024-04-12

3. Finite-time synchronization for fuzzy shunting inhibitory cellular neural networks;AIMS Mathematics;2024