Controllability of complex networks using perturbation theory of extreme singular values
Abstract
Pinning control on complex dynamical networks has emerged as a very important topic in recent trends of control theory due to the extensive study of collective coupled behaviors and their role in physics, engineering and biology. In practice, real-world networks consists of a large number of vertices and one may only be able to perform a control on a fraction of them only. Controllability of such systems has been addressed in \cite{PorfiriDiBernardo:Automatica08}, where it was reformulated as a global asymptotic stability problem. The goal of this short note is to refine the analysis proposed in \cite{PorfiriDiBernardo:Automatica08} using recent results in singular value perturbation theory.
Keywords
Cite
@article{arxiv.1601.06042,
title = {Controllability of complex networks using perturbation theory of extreme singular values},
author = {Stephane Chretien and Sebastien Darses},
journal= {arXiv preprint arXiv:1601.06042},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1406.5441