Preprint Article Version 1 This version is not peer-reviewed

Global Exponential Stability of Impulsive Delayed Neural Networks with Parameter Uncertainties and Reaction-Diffusion Terms

Version 1 : Received: 5 July 2024 / Approved: 5 July 2024 / Online: 5 July 2024 (13:21:21 CEST)

How to cite: Luo, F.; Hu, W.; Wu, E.; Yuan, X. Global Exponential Stability of Impulsive Delayed Neural Networks with Parameter Uncertainties and Reaction-Diffusion Terms. Preprints 2024, 2024070539. https://doi.org/10.20944/preprints202407.0539.v1 Luo, F.; Hu, W.; Wu, E.; Yuan, X. Global Exponential Stability of Impulsive Delayed Neural Networks with Parameter Uncertainties and Reaction-Diffusion Terms. Preprints 2024, 2024070539. https://doi.org/10.20944/preprints202407.0539.v1

Abstract

In this paper we study a class of impulsive delayed neural networks with parameter uncertainties and reaction-diffusion terms. Using the properties of M-matrices and some inequality techniques, some sufficient conditions are derived to guarantee the global exponential stability of the given system. The results obtained are presented by simple algebraic inequalities, which are certainly more concise than previous methods. Finally, the validity and usefulness of our results are illustrated by arithmetic examples.

Keywords

Reaction diffusion terms; Uncertainty parameters; Impulse; Time-varying delays; Global exponential stability

Subject

Computer Science and Mathematics, Computer Networks and Communications

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