Pinning Complex Networks by a Single Controller

Details Pinning Complex Networks by a Single Controller Pinning Complex Networks by a Single Controller

2007-07-17

arxiv.org/abs/0707.2411v1

Mathematics

Dynamical Systems

Scientific paper

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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