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Synchronization in Networks of Linearly Coupled Dynamical Systems via Event-Triggered Diffusions
IEEE Transactions on Neural Networks and Learning Systems
|March 10, 2015
Summary
This study introduces event-triggered coupling for synchronizing dynamical systems. These novel strategies ensure synchronization is achievable, mirroring continuous coupling methods for improved efficiency.
Area of Science:
- Dynamical Systems and Control Theory
- Network Synchronization
- Event-Triggered Control
Background:
- Coupled dynamical systems are fundamental in various scientific fields.
- Achieving synchronization efficiently is a key challenge in complex systems.
- Traditional methods often rely on continuous monitoring, which can be resource-intensive.
Purpose of the Study:
- To develop and analyze event-triggered coupling strategies for synchronizing linearly coupled dynamical systems.
- To investigate the effectiveness of these strategies under different monitoring scenarios (continuous and discrete).
- To demonstrate that event-triggered synchronization can be as effective as persistent coupling.
Main Methods:
- Utilized event-triggered coupling configurations based on local neighborhood information.
- Implemented diffusion couplings relying on the latest observations.
- Defined event-triggering criteria based on neighborhood information to determine observation times.
- Considered two scenarios: continuous monitoring and discrete monitoring.
Main Results:
- Event-triggered coupling successfully realizes synchronization in linearly coupled dynamical systems.
- Both continuous and discrete monitoring scenarios, under event-triggered control, achieve synchronization.
- Proven that if a system synchronizes with persistent coupling, event-triggered strategies also achieve synchronization.
Conclusions:
- Event-triggered coupling offers an efficient alternative to persistent coupling for system synchronization.
- The proposed strategies are robust and effective in both continuous and discrete monitoring settings.
- These findings have implications for resource-aware synchronization in distributed and networked systems.
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