%0 Journal Article
%T On the pinning controllability of complex networks using perturbation theory of extreme singular values. Application to synchronisation in power grids
%+ National Physical Laboratory [Teddington] (NPL)
%+ Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST)
%A Chrétien, Stéphane
%A Darses, Sébastien
%A Guyeux, Christophe
%A Clarkson, Paul
%Z National Physical Laboratory
%Z We thank Maurizio Porfiri for pointing out a missing assumption in Theorem 2.1. The authors also thank the anonymous referees for their constructive and insightful suggestions.
%< avec comité de lecture
%@ 2155-3289
%J Numerical Algebra, Control and Optimization
%I American Institute for Mathematical Sciences
%V 7
%N 3
%P 289 - 299
%8 2017
%D 2017
%Z 1601.06042
%R 10.3934/naco.2017019
%K Pinned control
%K eigenvalue perturbation
%K sum of rank one matrices
%K singular value perturbation
%K control theory
%Z 93Bxx; 15A1
%Z Computer Science [cs]/Cryptography and Security [cs.CR]
%Z Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]
%Z Computer Science [cs]/Emerging Technologies [cs.ET]
%Z Computer Science [cs]/Ubiquitous Computing
%Z Computer Science [cs]/Multiagent Systems [cs.MA]
%Z Computer Science [cs]/Modeling and Simulation
%Z Computer Science [cs]/Software Engineering [cs.SE]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-02392542/document
%2 https://hal.science/hal-02392542/file/a69e5f87-4cab-480a-8da6-effd36f9fb2d-author.pdf
%L hal-02392542
%U https://hal.science/hal-02392542
%~ CNRS
%~ UNIV-FCOMTE
%~ UNIV-BM
%~ ENSMM
%~ FEMTO-ST
%~ UNIV-BM-THESE
%~ TDS-MACS