Synchronization of fractional‐order delayed neural networks with hybrid coupling. (21st August 2015)

• Record Type: Journal Article
• Authors: Bao, Haibo; Park, Ju H.; Cao, Jinde
• Is Part Of: Complexity. Volume 21(2016)Supplement 1
• Page Start: 106
• Page End: 112
• Publication Date: 2015-08-21
• Subjects: fractional‐order -- delayed neural network -- synchronization -- hybrid coupling; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21715
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This article presents new theoretical results on the synchronization for a class of fractional‐order delayed neural networks with hybrid coupling that contains constant coupling and discrete‐delay coupling. This is the first attempt to investigate the synchronization problem of fractional‐order coupled delayed neural networks. Based on the fractional‐order Lyapunov stability theorem and Kronecker product properties, sufficient criteria are established to ensure the fractional‐order coupled neural network to achieve synchronization. Numerical simulations are given to illustrate the correctness of the theoretical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 106–112, 2016