This article focuses on the adaptive synchronization of spatiotemporal neural networks with multi-weighted coupling based on the theory of passivity. Firstly, based on the spatial point measurements, an innovative adaptive spatial sampling controller is developed. Subsequently, by utilizing variable rearrangement technique and passivity theory, several criteria of passivity and passivity-based synchronization are derived under the condition that the weighted union matrices of all coupling layers are irreducible. Finally, a numerical example is presented to validate the obtained results.

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Adaptive Passivity-Based Synchronization Of Spatiotemporal Neural Networks With Multi-weighted Coupling Under Spatially Point Measurements

  • Haoyun Tang,
  • Haodong Cui,
  • Mingyu Ma,
  • Cheng Hu,
  • Tingting Shi

摘要

This article focuses on the adaptive synchronization of spatiotemporal neural networks with multi-weighted coupling based on the theory of passivity. Firstly, based on the spatial point measurements, an innovative adaptive spatial sampling controller is developed. Subsequently, by utilizing variable rearrangement technique and passivity theory, several criteria of passivity and passivity-based synchronization are derived under the condition that the weighted union matrices of all coupling layers are irreducible. Finally, a numerical example is presented to validate the obtained results.