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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 959368, 11 pages
http://dx.doi.org/10.1155/2013/959368
Research Article

Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix

College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, China

Received 15 September 2012; Accepted 18 November 2012

Academic Editor: M. De la Sen

Copyright © 2013 Jianwen Feng 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 addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response network while the inner complete synchronization in the driving network and the response network. We will show that only a small number of pinning feedback controllers acting on some nodes are effective for synchronization control of the mentioned dynamical networks. Based on Lyapunov Stability Theory, some simple criteria for hybrid synchronization are derived for such dynamical networks by pinning control strategy. Numerical examples are provided to illustrate the effectiveness of our theoretical results.