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Discrete Dynamics in Nature and Society
Volume 2014, Article ID 580378, 8 pages
http://dx.doi.org/10.1155/2014/580378
Research Article

Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control

1Software College, Northeastern University, Shenyang 110819, China
2School of Information Science & Engineering, Northeastern University, Shenyang 110819, China

Received 21 January 2014; Revised 21 March 2014; Accepted 22 March 2014; Published 23 April 2014

Academic Editor: Jinde Cao

Copyright © 2014 Hong-juan 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

The modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper. Based on the stability theorem of fractional order systems, the adaptive controllers and sufficient criteria for achieving the synchronization are given by applying the nonlinear control. The proposed method is also applicable to modified projective outer synchronization between two fractional order complex networks with identical topological structures. In addition, there are fewer restrictions on the coupling configuration matrix and inner-coupling matrix. The corresponding numerical results coincide with theoretical analysis, which also show that feedback strength and fractional order can effectively affect the synchronization performance.