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arXiv · 0707.2411

Pinning Complex Networks by a Single Controller

Tianping Chen·Xiwei Liu·Wenlian Lu
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Abstract

In this paper, without assuming symmetry, irreducibility, or linearity of the couplings, we prove that a single controller can pin a coupled complex network to a homogenous solution. Sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally. An effective approach to adapt the coupling strength is proposed. Several numerical simulations are given to verify our theoretical analysis.

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Tianping Chen, Xiwei Liu, Wenlian Lu. 2007-07-17. Pinning Complex Networks by a Single Controller. https://arxiv.org/abs/0707.2411

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