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 function...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.展开更多
文摘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.
基金National Natural Science Foundation of the People’s Republic of China“Dynamical analysis and synchronization control of discrete-time fractional-order quaternion-valued neural networks”(12262035).
