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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 1585928, 10 pages
Research Article

Pinning Controllability Scheme of Directed Complex Delayed Dynamical Networks via Periodically Intermittent Control

1Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
2Department of Mathematics and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, Jiangsu 210096, China

Received 29 August 2015; Revised 15 October 2015; Accepted 27 October 2015

Academic Editor: Daniele Fournier-Prunaret

Copyright © 2016 Shaolin Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies the pinning controllability of directed complex delayed dynamical networks by using periodic intermittent control scheme. The general and low-dimensional pinning synchronization criteria are derived to illustrate the design of periodic intermittent control scheme. According to our low-dimensional pinning criterion, especially, the constraint condition of coupling strength is obtained when the network structure and amounts of pinned nodes are fixed. An algorithm is presented to determine the amounts of periodically intermittent controllers and locate these intermittent controllers in a directed network, in which the significance of nodes out- (in-) degree in pinning control of complex network is also illustrated. Finally, a directed network consisting of 12 coupled delayed Chua oscillators is designed as numerical example to verify the effectiveness of the theoretical analysis.