AIMS Mathematics (Jun 2024)

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

  • Wenlong Xue ,
  • Zhenghong Jin ,
  • Yufeng Tian

DOI
https://doi.org/10.3934/math.2024942
Journal volume & issue
Vol. 9, no. 7
pp. 19345 – 19360

Abstract

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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.

Keywords