Finite-time anti-synchronization of multi-weighted coupled neural networks with and without coupling delays

Hou, Jie and Huang, Yanli and Yang, Erfu (2019) Finite-time anti-synchronization of multi-weighted coupled neural networks with and without coupling delays. Neural Processing Letters, 50 (3). pp. 2871-2898. ISSN 1573-773X (https://doi.org/10.1007/s11063-019-10069-x)

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Abstract

The multi-weighted coupled neural networks (MWCNNs) models with and without coupling delays are investigated in this paper. Firstly, the finite-time anti-synchronization of MWCNNs with fixed topology and switching topology is analyzed respectively by utilizing Lyapunov functional approach as well as some inequality techniques, and several anti-synchronization criteria are put forward for the considered networks. Furthermore, when the parameter uncertainties appear in MWCNNs, some conditions for ensuring robust finite-time anti-synchronization are obtained. Similarly, we also consider the finite-time anti-synchronization and robust finite-time anti-synchronization for MWCNNs with coupling delays under fixed and switched topologies respectively. Lastly, two numerical examples with simulations are provided to confirm the effectiveness of these derived results.