期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 391, 期 22, 页码 5746-5758出版社
ELSEVIER
DOI: 10.1016/j.physa.2012.06.050
关键词
Complex dynamical networks; Fractional-order; Adaptive synchronization; Pinning control
资金
- National Natural Science Foundation of China [60974090]
- Fundamental Research Funds for the Central Universities [CDJXS12170001, CDJZR 11170005]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20093401120001, 102063720090013]
- Natural Science Foundation of Anhui Province [11040606M12]
- Natural Science Foundation of Anhui Education Bureau [KJ2010A035]
- PhD Candidate Academic Foundation of Ministry of Education of China
- 211 project of Anhui University [KJJQ1102]
Synchronization of general complex dynamical networks with fractional-order dynamical nodes is addressed in this paper. Based on the stability theory of fractional-order differential systems and adaptive pinning control, some sufficient local asymptotical synchronization criteria and global asymptotical ones are derived respectively, which succeed in solving the problem about how many nodes are need to be controlled and how much coupling strength should be applied to ensure the synchronization of the entire fractional-order networks. The obtained results are more general and effective than those reported. Moreover, the coupling-configuration matrices and the inner-coupling matrices are not assumed to be symmetric and irreducible. Finally, a numerical simulation is presented to demonstrate the validity and feasibility of the proposed synchronization criteria. (C) 2012 Elsevier B.V. All rights reserved.
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