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PINNING SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX NETWORKS BY A SINGLE CONTROLLER

Part of: Control systems

Published online by Cambridge University Press:  13 March 2017

Q. FANG Open the ORCID record for Q. FANG [Opens in a new window]  and
J. PENG
Q. FANG*
Affiliation:
Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China College of Sciences, China Jiliang University, Hangzhou 310018, China email fangqx@cjlu.edu.cn, jgpeng@mail.xjtu.edu.cn
J. PENG
Affiliation:
Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China College of Sciences, China Jiliang University, Hangzhou 310018, China email fangqx@cjlu.edu.cn, jgpeng@mail.xjtu.edu.cn
*
✉fangqx@cjlu.edu.cn
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Abstract

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We investigate the state feedback pinning synchronization of fractional-order complex networks. Based on the stability theory of fractional-order differential systems and state feedback control by a single controller, synchronization conditions for fractional-order complex networks are given. We assume that the coupling matrix is irreducible, and provide a numerical example to illustrate the validity of the proposed conclusions.

Keywords

fractional-order complex networkssynchronizationlinearly coupled networksstate feedback

MSC classification

Primary: 93C15: Systems governed by ordinary differential equations
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 324 - 332
Copyright
© 2017 Australian Mathematical Society 

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