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Title: Pinning control of fractional-order weighted complex networks
Authors: Tang, Y
Wang, Z
Fang, J
Issue Date: 2009
Publisher: American Institute of Physics
Citation: Chaos. 19(1): Art. No. 013112
Abstract: In this paper, we consider the pinning control problem of fractional-order weighted complex dynamical networks. The well-studied integer-order complex networks are the special cases of the fractional-order ones. The network model considered can represent both directed and undirected weighted networks. First, based on the eigenvalue analysis and fractional-order stability theory, some local stability properties of such pinned fractional-order networks are derived and the valid stability regions are estimated. A surprising finding is that the fractional-order complex networks can stabilize itself by reducing the fractional-order q without pinning any node. Second, numerical algorithms for fractional-order complex networks are introduced in detail. Finally, numerical simulations in scale-free complex networks are provided to show that the smaller fractional-order q, the larger control gain matrix D, the larger tunable weight parameter , the larger overall coupling strength c, the more capacity that the pinning scheme may possess to enhance the control performance of fractional-order complex networks.
ISSN: 1054-1500
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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