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Synchronization of impulsively coupled complex systems with delay.

Wen Sun1, Francis Austin, Jinhu Lü

  • 1School of Information and Mathematics, Yangtze University, Jingzhou 434023, China.

Chaos (Woodbury, N.Y.)
|October 7, 2011
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Summary
This summary is machine-generated.

This study introduces a distributed impulsive control scheme to synchronize complex systems with time delays. The method effectively synchronizes chaotic delayed Hopfield neural networks, demonstrating its practical application.

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Area of Science:

  • Complex Systems
  • Control Theory
  • Neural Networks

Background:

  • Complex systems with time delays present challenges in synchronization.
  • Impulsive coupling at discrete instants requires specialized control strategies.

Purpose of the Study:

  • To propose a distributed impulsive control scheme for synchronizing complex systems with time delays.
  • To apply and validate the proposed scheme on chaotic delayed Hopfield neural networks.

Main Methods:

  • Utilizing the comparison theorem for impulsive differential systems.
  • Developing a distributed impulsive control strategy where node influence is weight-dependent.
  • Conducting numerical simulations for validation.

Main Results:

  • The proposed distributed impulsive control scheme successfully achieves synchronization.
  • The effectiveness of the control strategy is demonstrated on chaotic delayed Hopfield neural networks.

Conclusions:

  • The developed control scheme is effective for synchronizing complex systems with time delays.
  • The weight-dependent influence of nodes is crucial for network synchronization.