JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (2): 43-49.doi: 10.6040/j.issn.1671-9352.0.2024.352

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Stability analysis of recurrent neural network systems with three delays

CHEN Zijie, ZHAO Dongxia*, WANG Yiyan   

  1. School of Mathematics, North University of China, Taiyuan 030051, Shanxi, China
  • Online:2026-02-20 Published:2026-02-13

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Abstract: The paper investigates the stability of a recursive neural network model composed of three neurons with three delays. Initially, the system is linearized around its equilibrium point, and the characteristic equation, which contains two exponential terms, is derived. Subsequently, the critical conditions for stability switch are discussed by zero-point distribution properties of exponential polynomials and methods of eigenvalue analysis. Finally, the sufficient conditions are given to ensure the system stable, and the critical values of time-delay are deduced.

Key words: recursive neural network, multiple time delays, eigenvalue analysis, stability

CLC Number: 

  • O175
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