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Research Article | Open Access

Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays

Qinghua Zhou1Li Wan2( )Hongshan Wang2Hongbo Fu2Qunjiao Zhang2
School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China
Research Center of Nonlinear Science, Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, China
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Abstract

Maybe because Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays cannot be converted into the vector-matrix forms, the stability results of such networks are relatively few and the stability conditions in the linear matrix inequality forms have not been established. So this paper investigates the exponential stability of the networks and gives the sufficient condition in the linear matrix inequality forms. Two examples are provided to demonstrate the effectiveness of the theoretical results.

CLC number: 32D40

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AIMS Mathematics
Pages 19161-19171

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Cite this article:
Zhou Q, Wan L, Wang H, et al. Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays. AIMS Mathematics, 2023, 8(8): 19161-19171. https://doi.org/10.3934/math.2023978

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Received: 19 April 2023
Revised: 25 May 2023
Accepted: 29 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)