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<p>This paper investigates the global exponential synchronization (GES) issue of discrete-time (D-T) high-order bidirectional associative memory (BAM) neural networks (NNs) with time-varying delays and impulses by using the counter-evidence. In this work, we first set up a novel impulse-free D-T high-order BAM NN, and describe the correlation between the solutions of the new high-order BAM NN and the initial high-order BAM NN. On this basis, the controllers are designed to synchronize the new high-order BAM NN and its response system, and thereby the synchronization criterion of the initial high-order BAM NN and its response system is obtained. Finally, numerical example validates the theoretical results. This method’s strength is rooted in the avoidance of constructing any Lyapunov–Krasovskii functional, and simpler GES conditions are derived.</p>

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Synchronization of Discrete-Time High-Order BAM Neural Networks with Time-Varying Delays and Impulses

  • 期刊论文

  • 发表日期：

    2025年7月16日

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  • Yantao Wang,
  • Wanning Li,
  • Chunyan Liu

摘要

This paper investigates the global exponential synchronization (GES) issue of discrete-time (D-T) high-order bidirectional associative memory (BAM) neural networks (NNs) with time-varying delays and impulses by using the counter-evidence. In this work, we first set up a novel impulse-free D-T high-order BAM NN, and describe the correlation between the solutions of the new high-order BAM NN and the initial high-order BAM NN. On this basis, the controllers are designed to synchronize the new high-order BAM NN and its response system, and thereby the synchronization criterion of the initial high-order BAM NN and its response system is obtained. Finally, numerical example validates the theoretical results. This method’s strength is rooted in the avoidance of constructing any Lyapunov–Krasovskii functional, and simpler GES conditions are derived.