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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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Multisynchronization of Delayed Coupled Neural Networks With General Activation Functions via Impulsive Control
IEEE Transactions on Neural Networks and Learning Systems
|January 12, 2026
Summary
This study introduces general activation functions and impulsive control for delayed coupled neural networks (DCNNs). This approach enables robust multisynchronization, reducing communication costs for enhanced network performance.
Area of Science:
- Neuroscience
- Control Theory
- Applied Mathematics
Background:
- Delayed Coupled Neural Networks (DCNNs) are crucial for complex information processing.
- Existing activation functions (AFs) have limitations in achieving diverse network behaviors.
- Multisynchronization in DCNNs is essential for advanced applications but challenging to achieve.
Purpose of the Study:
- To propose a more general class of activation functions (AFs) for DCNNs.
- To design an impulsive control strategy for DCNNs.
- To achieve both dynamical multisynchronization (DMS) and static multisynchronization (SMS) in DCNNs.
Main Methods:
- Development of a novel, generalized activation function (AF).
- Design of an impulsive controller to manage network states.
- Utilizing a comparison system and the Lagrange method of variation of parameters to derive synchronization conditions.
Main Results:
- The proposed AFs allow n-neuron subnetworks to generate (p+1)^n locally stable equilibrium points or periodic orbits.
- The impulsive control strategy is more efficient than continuous-time control, reducing communication costs and bandwidth usage.
- Sufficient conditions for achieving both dynamical and static multisynchronization in DCNNs were established.
Conclusions:
- The proposed general activation functions offer greater flexibility compared to specific ones like Sigmoid or saturated AFs.
- Impulsive control provides an effective and resource-efficient method for DCNN synchronization.
- The study successfully demonstrates the theoretical framework for achieving multisynchronization in DCNNs via impulsive control.
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