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Updated: May 24, 2025

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Using Neuron Spiking Activity to Trigger Closed-Loop Stimuli in Neurophysiological Experiments
Published on: November 12, 2019
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Adaptive Event-Triggered Lag Outer Synchronization for Coupled Neural Networks With Multistate or Multiderivative
IEEE Transactions on Cybernetics
|March 3, 2025
Summary
This study introduces multistate coupled neural networks (MSCCNN) and multiderivative coupled neural networks (MDCCNN). It establishes criteria for lag outer synchronization in these networks using adaptive event-triggered control, ensuring no Zeno behavior occurs.
Area of Science:
- Complex Systems
- Computational Neuroscience
- Control Theory
Background:
- Coupled neural networks are crucial for modeling complex systems.
- Achieving synchronization in these networks is essential for their reliable operation.
- Event-triggered control offers efficiency by reducing communication load.
Purpose of the Study:
- To investigate lag outer synchronization in multistate coupled neural networks (MSCCNN) and multiderivative coupled neural networks (MDCCNN).
- To develop adaptive event-triggered control schemes for achieving and verifying synchronization.
- To ensure the absence of Zeno behavior in the proposed control strategies.
Main Methods:
- Derivation of lag outer synchronization criteria for MSCCNN using node-based adaptive event-triggered control.
- Application of edge-based adaptive event-triggered control for MSCCNN synchronization.
- Development of node- and edge-based adaptive event-triggered control strategies for MDCCNN synchronization.
- Mathematical proof for the nonexistence of Zeno behavior.
Main Results:
- Successful derivation of lag outer synchronization criteria for both MSCCNN and MDCCNN.
- Demonstration of the effectiveness of node- and edge-based adaptive event-triggered control schemes.
- Proof that the proposed control methods prevent Zeno behavior.
- Validation of the control schemes through two illustrative examples.
Conclusions:
- The proposed adaptive event-triggered control schemes effectively achieve lag outer synchronization in MSCCNN and MDCCNN.
- The developed methods are robust and guarantee the nonexistence of Zeno behavior.
- The findings offer practical control strategies for complex coupled neural network systems.
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