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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 627060, 8 pages
http://dx.doi.org/10.1155/2014/627060
Research Article

Pinning Synchronization of One-Sided Lipschitz Complex Networks

1School of Information Engineering, Huanghuai University, Henan 463000, China
2Department of Mathematics, Southeast University, Nanjing 210096, China
3Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received 23 January 2014; Accepted 19 March 2014; Published 13 April 2014

Academic Editor: Zhiqiang Zuo

Copyright © 2014 Fang Liu 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.

Abstract

This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived for one-sided Lipschitz complex networks with full-state and partial-state coupling, respectively. A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.