Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks
K. UDHAYAKUMAR , R. RAKKIYAPPAN , Jin-de CAO , Xue-gang TAN
Front. Inform. Technol. Electron. Eng ›› 2020, Vol. 21 ›› Issue (2) : 234 -246.
Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks
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.
Mittag-Leffler stability / Fractional-order / Quaternion-valued neural networks / Impulse
Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature
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