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Related Experiment Video

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Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond

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Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems.

Shouting Hong¹, Junfeng Zhang¹, Gang Zheng²

¹School of Information and Communication Engineering, Hainan University, Haikou, China.

|May 15, 2025

Summary

This study stabilizes and synchronizes positive complex networks with dynamic links using novel controllers and coupling terms. The methods ensure network stability and achieve synchronization, verified by simulations.

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Area of Science:

Complex networks
Control theory
Systems engineering

Background:

Complex networks are fundamental to many systems.
Dynamic links introduce challenges in network stability and synchronization.
Existing methods may not adequately address positive complex networks with dynamic links.

Purpose of the Study:

To investigate the stabilization and synchronization of positive complex networks with dynamic links.
To design controllers and coupling terms for network stability and synchronization.
To develop a tractable framework for analysis and computation.

Main Methods:

Construction of positive complex networks with dynamic links.
Design of controllers and coupling terms for stability and synchronization.
Application of linear programming and copositive Lyapunov functions for analysis.

Main Results:

A novel coupling term effectively achieves stability and synchronization.
A comprehensive framework for stabilization and synchronization is established.
A computationally tractable method for design and analysis is introduced.

Conclusions:

The proposed approaches effectively stabilize and synchronize positive complex networks with dynamic links.
The developed framework offers a robust solution for network control.
The simulation results validate the practical feasibility of the presented methods.