ON THE PINNING CONTROLLABILITY OF COMPLEX NETWORKS USING PERTURBATION THEORY OF EXTREME SINGULAR VALUES. APPLICATION TO SYNCHRONISATION IN POWER GRIDS
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | ON THE PINNING CONTROLLABILITY OF COMPLEX NETWORKS USING PERTURBATION THEORY OF EXTREME SINGULAR VALUES. APPLICATION TO SYNCHRONISATION IN POWER GRIDS |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Chretien S, Darses S, Guyeux C, Clarkson P |
| Journal | NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION |
| Volume | 7 |
| Pagination | 289-299 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 2155-3289 |
| Mots-clés | Control theory, eigenvalue perturbation, Pinned control, singular value perturbation, sum of rank one matrices |
| Résumé | 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 consist 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 [17], where it was reformulated as a global asymptotic stability problem. The goal of this short note is to refine the analysis proposed in [17] using recent results in singular value perturbation theory. |
| DOI | 10.3934/naco.2017019 |