K. UDHAYAKUMAR1(), R. RAKKIYAPPAN1(), Jin-de CAO2(), Xue-gang TAN3()
1. Department of Mathematics, Bharathiar University, Coimbatore 641046, India 2. School of Mathematics, Southeast University, Nanjing 210096, China 3. School of Automation, Southeast University, Nanjing 210096, China
In this study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued neural networks (QVNNs) with impulses. Using the geometrical properties of activation functions and the Lipschitz condition, the existence of the equilibrium points is analyzed. In addition, the global Mittag-Leffler stability of multiple equilibrium points for the impulsive fractional-order QVNNs is investigated by employing the Lyapunov direct method. Finally, simulation is performed to illustrate the effectiveness and validity of the main results obtained.
