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

Fei Luo, Weiyi Hu (), Enli Wu and Xiufang Yuan
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Fei Luo: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Weiyi Hu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Enli Wu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Xiufang Yuan: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

Mathematics, 2024, vol. 12, issue 15, 1-15

Abstract: In this paper, we present a method to achieve exponential stability in a class of impulsive delayed neural networks containing parameter uncertainties, time-varying delays, and impulsive effect and reaction–diffusion terms. By using an integro-differential inequality with impulsive initial conditions and employing the M-matrix theory and the nonlinear measure approach, some new sufficient conditions ensuring the global exponential stability and global robust exponential stability of the considered system are derived. In particular, the results obtained are presented by simple algebraic inequalities, which are certainly more concise than the previous methods. By comparisons and examples, it is shown that the results obtained are effective and useful.

Keywords: reaction–diffusion terms; uncertainty parameters; impulse; time-varying delays; global exponential stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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