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

doi:10.1631/FITEE.1900409

PDF(898 KB)

Front. Inform. Technol. Electron. Eng ›› 2020, Vol. 21 ›› Issue (2) : 234-246. DOI: 10.1631/FITEE.1900409

Orginal Article

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks

Author information +

History +

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.

Keywords

Mittag-Leffler stability / Fractional-order / Quaternion-valued neural networks / Impulse

Cite this article

EndNote

Ris (Procite)

Bibtex

Download citation ▾

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN. Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks. Front. Inform. Technol. Electron. Eng, 2020, 21(2): 234‒246 https://doi.org/10.1631/FITEE.1900409