JOURNAL ARTICLE

Synchronization of fractional‐order delayed neural networks with hybrid coupling

Haibo BaoJu H. ParkJinde Cao

Year: 2015 Journal:   Complexity Vol: 21 (S1)Pages: 106-112   Publisher: Hindawi Publishing Corporation

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

Keywords:
Kronecker product Synchronization (alternating current) Artificial neural network Correctness Coupling (piping) Control theory (sociology) Computer science Order (exchange) Product (mathematics) Stability (learning theory) Kronecker delta Topology (electrical circuits) Applied mathematics Mathematics Algorithm Control (management) Physics Artificial intelligence Combinatorics Quantum mechanics

Metrics

44
Cited By
6.00
FWCI (Field Weighted Citation Impact)
35
Refs
0.97
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Neural Networks Stability and Synchronization
Physical Sciences →  Computer Science →  Computer Networks and Communications
stochastic dynamics and bifurcation
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Nonlinear Dynamics and Pattern Formation
Physical Sciences →  Computer Science →  Computer Networks and Communications

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