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