Abstract
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.
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K. UDHAYAKUMAR and R. RAKKIYAPPAN designed the research. K. UDHAYAKUMAR drafted the manuscript. Jin-de CAO helped organize the manuscript and gave some suggestions to improve the results. Jin-de CAO and Xue-gang TAN revised and finalized the paper.
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K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, and Xue-gang TAN declare that they have no conflict of interest.
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Udhayakumar, K., Rakkiyappan, R., Cao, Jd. et al. Mittag-Leffler stability analysis of multiple equilibrium points in impulsive fractional-order quaternion-valued neural networks. Front Inform Technol Electron Eng 21, 234–246 (2020). https://doi.org/10.1631/FITEE.1900409
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DOI: https://doi.org/10.1631/FITEE.1900409