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The chapter addresses the problems of Lagrangian global exponential stability and stabilization of continuous-time delayed MNNs. The involved MNNs includes continuous-time quaternion-valued MNNs with time-varying leakage delays, unbounded distributed delays and time-varying transmission delays, and continuous-time MNNs with unbounded time-varying delays. A direct method based on system solutions is proposed to establish Lagrangian global exponential stability and stabilization criteria for delayed MNNs under consideration.

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Lagrangian Global Exponential Stability and Stabilization

  • 章节

  • 发表日期：

    2025年

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

摘要

The chapter addresses the problems of Lagrangian global exponential stability and stabilization of continuous-time delayed MNNs. The involved MNNs includes continuous-time quaternion-valued MNNs with time-varying leakage delays, unbounded distributed delays and time-varying transmission delays, and continuous-time MNNs with unbounded time-varying delays. A direct method based on system solutions is proposed to establish Lagrangian global exponential stability and stabilization criteria for delayed MNNs under consideration.