期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
卷 57, 期 3, 页码 672-680出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2009.2024971
关键词
Adaptive tuning; directed and undirected complex networks; low-dimensional pinning criteria; pinning control; synchronization
资金
- Scientific Research Foundation of Hangzhou Dianzi University, China [KYS051507021, KYF045609005]
- Scientific Research Fund of Zhejiang Provincial Education Department [Y200804434]
- National Natural Science Foundation of China [60874088]
- Natural Science Foundation of Jiangsu Province of China [BK2009271]
- JSPS Innovation Program [CX09B_052Z]
- Specialized Research Fund for the Doctoral Program of Higher Education [20070286003]
This paper presents some low-dimensional pinning criteria for global synchronization of both directed and undirected complex networks, and proposes specifically pinning schemes to select pinned nodes by investigating the relationship among pinning synchronization, network topology, and the coupling strength. The paper answers the challenging questions in pinning control of complex networks: 1) what sufficient conditions can guarantee global asymptotic stability of the pinning process; 2) what nodes should be chosen as pinned candidates; and 3) how many nodes are needed to be pinned for a fixed coupling strength? Furthermore, an adaptive pinning control scheme is developed to achieve synchronization of general complex networks. Numerical examples are given to verify our theoretical analysis.
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