Global Mittag–Leffler stability for a coupled system of fractional-order differential equations on network with feedback controls

Global Mittag-Leffler stability for fractional-order coupled systems on network without strong connectedness

“…We can obtain the MLS condition on the network (G, A) by combining Steps 1-3 with Step 4. This is the major contribution of this study compared to the previous studies that studied the global MLS on networks with strong connectedness [15][16][17]19].…”

“…Li et al [16] studied the global MLS problem of the solutions of FOCSs with feedback controls using a graph theory-based approach. Moreover, they investigated the stability of the solutions of FOCSs on networks without controls by constructing a global Lyapunov function [17]. Then, Gao [18] considered the MLS problem for a coupled model composed of two fractional-order differential equations without controls.…”

Global Asymptotical Stability Analysis for Fractional Neural Networks with Time-Varying Delays

“…Therefore, the study of neural networks is a hot topic in the theory of fractional differential systems. Some researchers have focused on the research of the fractional neural networks, including stability [21][22][23][24][25][26][27][28][29]. In [26], the author discussed a delay-dependent condition of uniform stability for fractional neural networks.…”

Mittag-Leffler stabilization of fractional-order nonlinear systems with unknown control coefficients

“…The Lyapunov direct method deals with the stability problem of fractional-order systems have been extended [11,24]. Reference [25] studied the global Mittag-Leffler stability for a coupled system of fractional-order differential equations on network with feedback controls. Robust stability and stabilization of fractional-order interval systems with 0 < α < 1 order have been studied [15].…”