Frontiers of Information Technology & Electronic Engineering
>> 2020,
Volume 21,
Issue 2
doi:
10.1631/FITEE.1900409
Orginal Article
Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks
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 |
Available online: 2020-04-01
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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.