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Related Experiment Video

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Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

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Published on: February 14, 2025

Impulsive control for synchronizing delayed discrete complex networks with switching topology.

Chaojie Li¹, David Y Gao¹, Chao Liu²

¹School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC 3350 Australia.

Neural Computing & Applications

|January 14, 2014

Summary

This study explores global exponential synchronization for discrete complex networks with switching topology and time delays. An impulsive control strategy ensures these networks achieve synchronization, confirmed by numerical simulations.

Keywords:

Complex networks Impulsive synchronization Lyapunov-Ruzimiki method Switching topology

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Area of Science:

Complex Networks
Control Theory
Dynamical Systems

Background:

Discrete delayed complex networks are crucial in various fields.
Switching topologies introduce challenges in network synchronization.
Impulsive control is a viable strategy for network stabilization.

Purpose of the Study:

Investigate global exponential synchronization in discrete delayed complex networks with switching topology.
Design an effective impulsive control scheme for synchronization.
Develop a time-varying delay-dependent criterion for synchronization.

Main Methods:

Lyapunov-Ruzimiki method for stability analysis.
Impulsive control applied at topology switching instants.
Development of a novel time-varying delay-dependent synchronization criterion.

Main Results:

A criterion for achieving global exponential synchronization is established.
The impulsive control scheme effectively drives the network to a synchronous state.
Numerical simulations validate the theoretical findings.

Conclusions:

The proposed impulsive control strategy ensures global exponential synchronization for discrete delayed complex networks with switching topology.
The derived criterion is effective for time-varying delays.
The findings offer valuable insights for designing and controlling complex network systems.