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<p>This paper addresses the problem of stabilization for neutral-type inertial Cohen-Grossberg neural networks with time-varying delays and proportional time delays. Different from the traditional reduced-order variable substitution approach to deal with the inertial terms previously, it is more directly and effectively to analyse the stabilization of the system considered in this paper by means of a nonreduced order approach. Furthermore, by constructing two distinct Lyapunov functions, the conditions for the neutral inertial Cohen-Grossberg neural networks with mixed time delays to reach asymptotic stabilization under two different types of controllers are obtained. At last, several simulation examples are employed to support the correctness of the theoretical results derived in this paper.</p>

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Stabilization of Neutral Inertial Cohen-Grossberg Neural Networks With Mixed Time Delays by Nonreduced Order Approach

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Yijia Zhang,
  • Tao Xie,
  • Yunlong Ma

摘要

This paper addresses the problem of stabilization for neutral-type inertial Cohen-Grossberg neural networks with time-varying delays and proportional time delays. Different from the traditional reduced-order variable substitution approach to deal with the inertial terms previously, it is more directly and effectively to analyse the stabilization of the system considered in this paper by means of a nonreduced order approach. Furthermore, by constructing two distinct Lyapunov functions, the conditions for the neutral inertial Cohen-Grossberg neural networks with mixed time delays to reach asymptotic stabilization under two different types of controllers are obtained. At last, several simulation examples are employed to support the correctness of the theoretical results derived in this paper.