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Intralayer Synchronization of Multiplex Dynamical Networks via Pinning Impulsive Control
IEEE Transactions on Cybernetics
|July 23, 2020
Summary
This study explores intralayer synchronization in multiplex networks using pinning impulsive control. New criteria and algorithms ensure synchronization across network layers, even with distinct dynamics and topologies.
Area of Science:
- Complex Networks
- Control Theory
- Network Synchronization
Background:
- Multiplex networks, comprising interconnected layers, present unique challenges for synchronization.
- Existing theories for synchronization and control in multiplex networks are still developing.
- Intralayer synchronization, focusing on synchronization within individual layers, is a key research area.
Purpose of the Study:
- To investigate intralayer synchronization in multiplex networks using pinning impulsive control.
- To develop theoretical frameworks and practical algorithms for controlling synchronization in complex multilayer systems.
- To address the complexities arising from independent layer topologies and distinct node dynamics.
Main Methods:
- Utilizing supra-Laplacian matrices to model the topological structure of multiplex networks.
- Applying Lyapunov stability theory and impulsive control theory to derive synchronization criteria.
- Developing algorithms for implementing pinning control schemes at discrete impulsive instants.
Main Results:
- Established several criteria for achieving intralayer synchronization in multiplex networks.
- Demonstrated that synchronization depends on network topology, node dynamics, impulsive intervals, and control strength.
- Proposed effective algorithms for implementing the derived pinning control strategies.
Conclusions:
- The proposed pinning impulsive control method is effective for achieving intralayer synchronization in multiplex networks.
- The derived criteria provide a solid theoretical foundation for controlling synchronization in complex multilayer systems.
- Numerical examples validate the effectiveness and correctness of the developed synchronization schemes.
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