Pinning control for passivity and synchronization of coupled memristive reaction–diffusion neural networks with time-varying delay

This paper studies the passivity and synchronization problems of delayed coupled memristive reaction–diffusion neural networks (CMRDNNs) by utilizing two pinning control schemes, respectively. Firstly, a nodes-based controller is added to the delayed coupled memristive reaction–diffusion neural netw...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2020-03, Vol.381, p.113-129
Main Authors: Yue, Chen-Xu, Wang, Lidan, Hu, Xiaofang, Tang, Hong-An, Duan, Shukai
Format: Article
Language:English
Subjects:
Coupled memristive reaction–diffusion neural networks
Passivity
Pinning control
Synchronization
Time-varying delay
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Summary:This paper studies the passivity and synchronization problems of delayed coupled memristive reaction–diffusion neural networks (CMRDNNs) by utilizing two pinning control schemes, respectively. Firstly, a nodes-based controller is added to the delayed coupled memristive reaction–diffusion neural network model, and some sufficient conditions are derived to ensure the passivity and synchronization of the presented network through constructing appropriate Lyapunov functionals. Additionally, with the help of an edges-based pinning adaptive strategy and inequality techniques, several passivity criteria are further established. Moreover, a similar pinning control method is employed in order to guarantee the synchronization of delayed CMRDNNs. Eventually, two examples are provided to confirm the validity of the obtained results.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2019.09.103