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Synchronization control in multiplex networks of nonlinear multi-agent systems.

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This study introduces hybrid coupling for multiplex network synchronization control. It achieves local and global synchronization in complex networks using adaptive control laws.

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Area of Science:

  • Complex Networks
  • Control Theory
  • Nonlinear Dynamics

Background:

  • Multiplex networks feature multiple layers of interactions.
  • Synchronization in complex systems is crucial for various applications.
  • Existing methods often struggle with time-varying coupling strengths.

Purpose of the Study:

  • To develop a novel synchronization control strategy for multiplex networks.
  • To analyze both local and global synchronization phenomena.
  • To address challenges posed by hybrid and time-varying coupling.

Main Methods:

  • Hybrid coupling (continuous linear and impulsive) is proposed.
  • Linearization techniques are used for local synchronization analysis.
  • Lyapunov stability theory and adaptive updating laws are employed for global synchronization.

Main Results:

  • Impulsive controllers facilitate local synchronization.
  • Adaptive control ensures global synchronization despite time-varying coupling.
  • The method is validated on chaotic Chua's circuits networks.

Conclusions:

  • The proposed hybrid coupling and adaptive control effectively achieve synchronization in multiplex networks.
  • This approach enhances control over complex systems with multiple interaction types.
  • The findings offer a robust framework for network synchronization.