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

• Published in: Discrete Dynamics in Nature and Society Vol. 2014; no. 2014; pp. 560 - 567-153
• Main Authors: Liu, Hong-Juan, Liu, Guo-qi, Yu, Hai, Zhu, Zhi-liang
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2014; Hindawi Puplishing Corporation; Hindawi Publishing Corporation; John Wiley & Sons, Inc; Hindawi Limited
• Subjects: Adaptive control; Algebraic topology; Chaos theory; Control systems; Dynamical systems; Mathematical models; Mathematical research; Networks; Neural networks; Nonlinear dynamics; Studies; Synchronism; Synchronization; Topology
• ISSN: 1026-0226; 1607-887X
• DOI: 10.1155/2014/580378

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.