Global exponential convergence of delayed inertial Cohen–Grossberg neural networks
Articles
Yanqiu Wu
Chongqing Three Gorges University
Nina Dai
Chongqing Three Gorges University
Zhengwen Tu
Chongqing Three Gorges University
Liangwei Wang
Chongqing Three Gorges University
Qian Tang
College of Physical Science and Technology
Published 2023-10-25
https://doi.org/10.15388/namc.2023.28.33431
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Keywords

inertial Cohen–Grossberg neural networks
time-varying delays
exponential convergence
convergence rate

How to Cite

Wu, Y. (2023) “Global exponential convergence of delayed inertial Cohen–Grossberg neural networks”, Nonlinear Analysis: Modelling and Control, 28(6), pp. 1062–1076. doi:10.15388/namc.2023.28.33431.

Abstract

In this paper, the exponential convergence of delayed inertial Cohen–Grossberg neural networks (CGNNs) is studied. Two methods are adopted to discuss the inertial CGNNs, one is expressed as two first-order differential equations by selecting a variable substitution, and the other does not change the order of the system based on the nonreduced-order method. By establishing appropriate Lyapunov function and using inequality techniques, sufficient conditions are obtained to ensure that the discussed model converges exponentially to a ball with the prespecified convergence rate. Finally, two simulation examples are proposed to illustrate the validity of the theorem results.

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