Fully aperiodic intermittent pinning control for exponential bipartite synchronization of multilayer signed stochastic coupled neural networks

This article aims to address the exponential bipartite synchronization (EBS) issue of multilayer signed stochastic coupled neural networks under the fully aperiodic intermittent pinning control (FAIPC) strategy. At first, a network model incorporating stochastic perturbations, multilayer signed grap...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2023-08, Vol.546, p.126354, Article 126354
Main Authors: Ren, Yue, Jiang, Haijun, Hu, Cheng, Li, Xinman, Qin, Xuejiao
Format: Article
Language:English
Subjects:
Exponential bipartite synchronization
Fully aperiodic intermittent control
Multilayer signed stochastic coupled neural network
Pinning control
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Summary:This article aims to address the exponential bipartite synchronization (EBS) issue of multilayer signed stochastic coupled neural networks under the fully aperiodic intermittent pinning control (FAIPC) strategy. At first, a network model incorporating stochastic perturbations, multilayer signed graphs and multiple time-varying delays is built. Subsequently, instead of the maximum rest rate condition, by means of the average control rate of aperiodically intermittent control, an improved differential inequality is established to reduce the conservatism of existing results. Furthermore, by employing the presented differential inequality and stochastic analysis technique, some sufficient conditions for ensuring mean square EBS are obtained based on FAIPC with constant control gains and FAIPC with adaptive control gains, respectively. Finally, the availability of the theoretical results is verified by some numerical simulations.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2023.126354