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The chapter addresses the problems of global exponential stability analysis and global exponential stabilization of discrete-time NNs with multiple time-varying transmission delays. The involved NNs include discrete-time HOCGNNs and discrete-time BAMNNs. A direct method based on system solutions is presented to obtain global exponential stability and stabilization criteria for the zero equilibrium point of discrete-time NNs under consideration.

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Global Exponential Stability and Stabilization

  • 章节

  • 发表日期：

    2025年

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  • Xin Wang,
  • Yu Xue,
  • Yantao Wang,
  • Xian Zhang

摘要

The chapter addresses the problems of global exponential stability analysis and global exponential stabilization of discrete-time NNs with multiple time-varying transmission delays. The involved NNs include discrete-time HOCGNNs and discrete-time BAMNNs. A direct method based on system solutions is presented to obtain global exponential stability and stabilization criteria for the zero equilibrium point of discrete-time NNs under consideration.