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http://bura.brunel.ac.uk/handle/2438/3170
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. |
URI: | http://chaos.aip.org/chaos/top.jsp http://bura.brunel.ac.uk/handle/2438/3170 |
ISSN: | 1054-1500 |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
Files in This Item:
File | Description | Size | Format | |
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Pinning control of fractional-order weighted complex networks - 023.pdf | 685.93 kB | Adobe PDF | View/Open |
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