Passivity of fractional-order coupled neural networks with multiple state/derivative couplings

This paper respectively discusses the passivity of fractional-order coupled neural networks with multiple state couplings (FOCNNMSCs) or multiple derivative couplings (FOCNNMDCs). In light of fractional-order system theory, several sufficient conditions for ensuring the passivity of the FOCNNMSCs are established. Moreover, a synchronization criterion for the FOCNNMSCs is obtained under the condition that the FOCNNMSCs is output-strictly passive. Similarly, we also investigate the passivity of the FOCNNMDCs by resorting to the Lyapunov functional method, and the output-strict passivity is used to deal with the synchronization for the FOCNNMDCs. Finally, the effectiveness of the obtained criteria is verified by two numerical examples with simulations. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper discusses the passivity and synchronization criteria for fractional-order coupled neural networks with multiple state couplings and multiple derivative couplings. By using the Lyapunov method and output-strict passivity, the synchronization issues for these networks are addressed effectively.