Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays

Dehao Ruan and Yao Lu ()
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Dehao Ruan: School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China
Yao Lu: School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China

Mathematics, 2024, vol. 12, issue 1, 1-19

Abstract: This paper focuses on the asymptotic behavior of nonautonomous neural networks with delays. We establish criteria for analyzing the asymptotic behavior of nonautonomous recurrent neural networks with delays by means of constructing some new generalized Halanay inequalities. We do not require to constructi any complicated Lyapunov function and our results improve some existing works. Lastly, we provide some illustrative examples to demonstrate the effectiveness of the obtained results.

Keywords: generalized Halanay inequalities; dissipativity; asymptotic behavior; recurrent neural networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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