Pinning Complex Networks by a Single Controller
Dynamical Systems
2007-07-18 v1
Abstract
In this paper, without assuming symmetry, irreducibility, or linearity of the couplings, we prove that a single controller can pin a coupled complex network to a homogenous solution. Sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally. An effective approach to adapt the coupling strength is proposed. Several numerical simulations are given to verify our theoretical analysis.
Cite
@article{arxiv.0707.2411,
title = {Pinning Complex Networks by a Single Controller},
author = {Tianping Chen and Xiwei Liu and Wenlian Lu},
journal= {arXiv preprint arXiv:0707.2411},
year = {2007}
}