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<p>In this paper, the quasi-synchronization of impulsive controlled heterogeneous dynamic neutral networks with time-varying delay, distributed delays and proportional delay is discussed. Compared with the existing literature, the significant advantage of this paper is that all three types of delays are taken into account. Here we consider time-varying delay depending on probability distribution conditions, so the results of this paper also rely on the problem of probability distribution of time-varying delay. By establishing a suitable comparison system, creating a new kind of impulsive delay inequality and applying Bernoulli distributions and Lyapunov theory, some conditions to realize quasi-synchronization of heterogeneous neural networks are studied. Finally we illustrate the validity of our theorem with numerical examples.</p>

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Quasi-synchronization analysis of heterogeneous neural networks with multiple delays under impulsive control

  • 期刊论文

  • 发表日期：

    2025年2月10日

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  • Qing Wang,
  • Yingxin Guo,
  • Chuan Zhang,
  • Jianting Fu

摘要

In this paper, the quasi-synchronization of impulsive controlled heterogeneous dynamic neutral networks with time-varying delay, distributed delays and proportional delay is discussed. Compared with the existing literature, the significant advantage of this paper is that all three types of delays are taken into account. Here we consider time-varying delay depending on probability distribution conditions, so the results of this paper also rely on the problem of probability distribution of time-varying delay. By establishing a suitable comparison system, creating a new kind of impulsive delay inequality and applying Bernoulli distributions and Lyapunov theory, some conditions to realize quasi-synchronization of heterogeneous neural networks are studied. Finally we illustrate the validity of our theorem with numerical examples.