Pinning synchronization of complex networks with delayed nodes
Wanli Guo
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
Search for more papers by this authorCorresponding Author
Shihua Chen
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Correspondence to: S. Chen, School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.
E-mail: [email protected]
Search for more papers by this authorAustin Francis
Department of Applied Mathematics, The Hong Kong Polytechnic, Hong Kong
Search for more papers by this authorWanli Guo
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
Search for more papers by this authorCorresponding Author
Shihua Chen
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Correspondence to: S. Chen, School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.
E-mail: [email protected]
Search for more papers by this authorAustin Francis
Department of Applied Mathematics, The Hong Kong Polytechnic, Hong Kong
Search for more papers by this authorSummary
This paper reveals the dynamical mechanism of synchronization in general complex networks with delayed nodes. It considers, in particular, the global synchronization of complex networks without assuming any symmetry in the coupling matrix by using pinning controllers. Sufficient conditions for global synchronization are obtained by suitably adding linear and adaptive feedback controllers to a certain sub-collection of the nodes and numerical examples that are provided to demonstrate the effectiveness of the theory. Copyright © 2014 John Wiley & Sons, Ltd.
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