Robust H ∞ Pinning Synchronization for Multiweighted Coupled Reaction–Diffusion Neural Networks

This article focuses on the robust [Formula Omitted] synchronization of two types of coupled reaction–diffusion neural networks with multiple state and spatial diffusion couplings by utilizing pinning adaptive control strategies. First, based on the Lyapunov functional combined with inequality techn...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2023-10, Vol.53 (10), p.6549-6561
Main Authors: Zhao, Lin-Hao, Wen, Shiping, Zhu, Song, Guo, Zhenyuan, Huang, Tingwen
Format: Article
Language:English
Subjects:
Adaptive control
Couplings
H-infinity control
Neural networks
Parameter uncertainty
Pinning
Robustness (mathematics)
Synchronism
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Summary:This article focuses on the robust [Formula Omitted] synchronization of two types of coupled reaction–diffusion neural networks with multiple state and spatial diffusion couplings by utilizing pinning adaptive control strategies. First, based on the Lyapunov functional combined with inequality techniques, several sufficient conditions are formulated to ensure [Formula Omitted] synchronization for these two networks with parameter uncertainties. Moreover, node-based pinning adaptive control strategies are devised to address the robust [Formula Omitted] synchronization problem. In addition, some criteria of [Formula Omitted] synchronization for these two networks under parameter uncertainties are developed via edge-based pinning adaptive controllers. Finally, two numerical examples are presented to verify our results.
ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2022.3223713