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Static pinning synchronization control of self-triggered coupling dynamical networks.

Lingzhong Zhang1, Shengyuan Xu2

  • 1School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, PR China.

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|November 27, 2024
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Summary

A novel resource-aware intermittent control method synchronizes coupled neural networks efficiently. This self-triggering mechanism reduces control updates by 34.58%, simplifying calculations for large networks.

Keywords:
Complex dynamical networksEvent-triggered controlIntermittent controlPinning controlSynchronization

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Area of Science:

  • Control Theory
  • Network Synchronization
  • Computational Neuroscience

Background:

  • Coupled neural networks require robust synchronization strategies.
  • Existing intermittent control methods have limitations in flexibility and efficiency.
  • Static pinning control offers a framework for network synchronization.

Purpose of the Study:

  • To propose a new static pinning intermittent control strategy based on resource awareness triggering.
  • To develop a self-triggering mechanism (STM) for efficient control execution in multi-layer networks.
  • To relax constraints on control width for average aperiodic intermittent control (AIC).

Main Methods:

  • A multi-layer hierarchical network structure with pinned and interaction layers.
  • A new lemma for pinning intermittent synchronization using AIC rate and an auxiliary function.
  • A self-triggering mechanism (STM) for AIC actuation in pinned and interaction layers.
  • Decomposition of the Laplacian matrix for large-scale network analysis.

Main Results:

  • The proposed STM effectively actuates static pinning impulsive control.
  • Synchronization is achieved in Chua's circuits, oscillators, and small-world networks.
  • A 34.58% reduction in control updates compared to periodic event-triggered schemes was demonstrated.
  • Hierarchical decomposition reduces computational complexity for large networks.

Conclusions:

  • The resource-aware static pinning intermittent control with STM is effective for coupled network synchronization.
  • The proposed method enhances control efficiency and reduces computational load.
  • This approach offers a flexible and powerful tool for network control problems.