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<p>This paper investigates Lagrange stability of competitive neural networks (CNNs) with multiple time-varying leakage delays. This study provides a novel approach based on the characteristic of system solutions, thus obtaining concise sufficient conditions to guarantee Lagrange stability of CNNs. The approach not only handles multiple time-varying leakage delays well, but also produces simpler Lagrange stability conditions that only require a few simple inequalities to be solved. Finally, numerical examples are provided to demonstrate the validity of the acquired results.</p>

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Concise lagrange stability condition for multiple-delay competitive neural networks

  • 期刊论文

  • 发表日期：

    2025年5月23日

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  • Weijing Yan,
  • Yu Xue,
  • Xian Zhang

摘要

This paper investigates Lagrange stability of competitive neural networks (CNNs) with multiple time-varying leakage delays. This study provides a novel approach based on the characteristic of system solutions, thus obtaining concise sufficient conditions to guarantee Lagrange stability of CNNs. The approach not only handles multiple time-varying leakage delays well, but also produces simpler Lagrange stability conditions that only require a few simple inequalities to be solved. Finally, numerical examples are provided to demonstrate the validity of the acquired results.