On the pinning controllability of complex networks using perturbation theory of extreme singular values. Application to synchronisation in power grids

DOI10.3934/naco.2017019zbMath1369.93082OpenAlexW2749873867MaRDI QIDQ2402870

Sébastien Darses, Stéphane Chrétien, Paul Clarkson, Christophe Guyeux

Publication date: 15 September 2017

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2017019

zbMATH Keywords

control theoryeigenvalue perturbationsingular value perturbationpinned controlsum of rank one matrices

Mathematics Subject Classification ID

Controllability (93B05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Eigenvalues, singular values, and eigenvectors (15A18) Large-scale systems (93A15)

Uses Software

• VODE
• SciPy
• NumPy
• Matplotlib

Cites Work

• Unnamed Item
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