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arXiv · 1601.06042

Controllability of complex networks using perturbation theory of extreme singular values

Stephane Chretien·Sebastien Darses
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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.

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Stephane Chretien, Sebastien Darses. 2016-01-22. Controllability of complex networks using perturbation theory of extreme singular values. https://arxiv.org/abs/1601.06042

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