Pinning Control for Synchronization of Coupled Reaction-Diffusion Neural Networks With Directed Topologies

This paper proposes a directed complex dynamical network consisting of N linearly and diffusively coupled identical reaction-diffusion neural networks. Based on the Lyapunov functional method and the pinning control technique, some sufficient conditions are obtained to guarantee the synchronization...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2016-08, Vol.46 (8), p.1109-1120
Main Authors: Wang, Jin-Liang, Wu, Huai-Ning, Huang, Tingwen, Ren, Shun-Yan, Wu, Jigang
Format: Article
Language:English
Subjects:
Asymptotic stability
Biological neural networks
Complex networks
Couplings
Criteria
Dynamical systems
Joining
Lyapunov functional
Networks
Neural networks
Pinning
pinning control
Symmetric matrices
Synchronism
Synchronization
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Summary:This paper proposes a directed complex dynamical network consisting of N linearly and diffusively coupled identical reaction-diffusion neural networks. Based on the Lyapunov functional method and the pinning control technique, some sufficient conditions are obtained to guarantee the synchronization of the proposed network model. In addition, an adaptive strategy is proposed to obtain appropriate coupling strength for achieving network synchronization. Furthermore, the pinning adaptive synchronization problem is also investigated in this paper, and a general criterion for ensuring network synchronization is established. Finally, a numerical example is provided to illustrate the effectiveness of the proposed criteria.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2015.2476491