Pinning complex Networks by A Simple Controller
Tianping Chen, Xiwei Liu
TL;DR
This paper demonstrates that a single local controller can stabilize a complex network to a desired equilibrium, supported by rigorous mathematical proof.
Contribution
It introduces a simple control method for pinning complex networks to a specific solution, simplifying existing approaches.
Findings
A single local controller can effectively stabilize complex networks.
Mathematical proof confirms the control method's validity.
The approach simplifies network stabilization strategies.
Abstract
In this short paper, we point out that a single local stability controller can pin the complex network to a specified solution (or its equilibrium) of the coupled complex network. A rigorous mathematical proof is given, too.
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Taxonomy
TopicsComplex Network Analysis Techniques · Neural Networks Stability and Synchronization · Opinion Dynamics and Social Influence