Global Pinning Synchronization of Complex Networks With Sampled-Data Communications

Area of Science:

• Complex Networks
• Control Theory
• Synchronization

Background:

• Complex networks are crucial in various scientific domains.
• Achieving global pinning synchronization is vital for network control.
• Aperiodic sampling introduces challenges in synchronization analysis.

Purpose of the Study:

• To investigate global pinning synchronization for complex networks with aperiodic sampling.
• To develop a less conservative criterion for guaranteeing synchronization.
• To establish a condition for achieving synchronization with a specified performance index.

Main Methods:

• Utilized a Writinger-based integral inequality.
• Developed a novel condition for performance-based synchronization.
• Applied theoretical results to Chua's circuit and pendulum models.

Main Results:

• Presented a new, less conservative criterion for global pinning synchronization.
• Established a condition linking performance index to sampling interval upper bounds.
• Demonstrated the effectiveness of the proposed methods through simulations.

Conclusions:

• The proposed criterion effectively guarantees global pinning synchronization.
• The performance index is positively correlated with the sampling interval's upper bound.
• The theoretical results are validated by practical applications in chaotic circuits and mechanical systems.