Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays
Abstract
:1. Introduction
2. Preliminaries and Model Description
3. Main Results
- (C.4)
- For , there exist constants and such that
- (C.5)
- For ,
- (C.4′)
- For , there exist constants and such that
- (C.5′)
- For , there exist constants , and such that
- (C.6)
- For , there exist positive constants , such that
- (C.7)
- For , there exist constants and such thatThen,
- (C.1′)
- For each , , , and are all continuous functions defined on .
- (C.6′)
- For each ,
- (C.7′)
- For , there exists a such that
4. Examples
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Ruan, D.; Lu, Y. Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays. Mathematics 2024, 12, 155. https://doi.org/10.3390/math12010155
Ruan D, Lu Y. Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays. Mathematics. 2024; 12(1):155. https://doi.org/10.3390/math12010155
Chicago/Turabian StyleRuan, Dehao, and Yao Lu. 2024. "Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays" Mathematics 12, no. 1: 155. https://doi.org/10.3390/math12010155