Stability analysis of delayed neural networks via compound-parameter -based integral inequality

Autor: Wenlong Xue, Zhenghong Jin, Yufeng Tian
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 19345-19360 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024942?viewType=HTML
Popis: This paper revisits the issue of stability analysis of neural networks subjected to time-varying delays. A novel approach, termed a compound-matrix-based integral inequality (CPBII), which accounts for delay derivatives using two adjustable parameters, is introduced. By appropriately adjusting these parameters, the CPBII efficiently incorporates coupling information along with delay derivatives within integral inequalities. By using CPBII, a novel stability criterion is established for neural networks with time-varying delays. The effectiveness of this approach is demonstrated through a numerical illustration.
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