Mutiple ψ-type stability of fractional-order quaternion-valued neural networks

The multiple psi-type stability of fractional-order quaternion-valued neural networks (FQVNNs) was investigated in this paper. Some new conditions ensuring the existence of multiple equilibrium points of the considered FQVNNs are provided. Meanwhile, the psi-type stability for the proposed neural networks is studied by employing the fractional calculus theory and fractional derivative techniques into the system dynamics. Finally, an numerical simulation is given to show the effectiveness of the theoretical results. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the multiple psi-type stability of fractional-order quaternion-valued neural networks and provides new conditions for the existence of multiple equilibrium points. The psi-type stability of the proposed neural networks is studied using fractional calculus theory and derivative techniques, and the effectiveness of the theoretical results is demonstrated through numerical simulations.