Asymptotic stability of delayed fractional-order neural networks with impulsive effects

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

“…is an equilibrium solution for system (42). Next, we apply Theorem 11 or Corollary 12 to check the uniqueness and global asymptotic stability of the equilibrium point for system (42).…”

“…This kind of impulsive behaviors can be modelled by impulsive systems [23,25,29,32,[40][41][42]. On the other hand, bidirectional associative memory (BAM) neural networks attract many studies due to its extensive applications in many fields [22][23][24][25][43][44][45][46].…”

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

“…Therefore, it would be far better if many practical problems are described by CSFDENs rather than CSIDENs. Recently, many researchers have focused on CSFDENs, some important and interesting results on dynamics behaviors and stability of CSFDENs have been obtained in this new field, see [23][24][25][26][27][28][29][30][31][32][33][34][35] and references therein. In [30], Zhang et al investigated the global stability of the equilibrium point for fractional-order Hopfield neural networks with discontinuous activation functions by using Lyapunov method.…”

“…In [31], Liang et al considered the global asymptotic stability of the equilibrium point for fractional-order cellular neural networks with multiple time delays by using Lyapunov method. In [32], Wang et al investigated the global asymptotic stability of the equilibrium point for delayed fractionalorder neural networks with impulsive effects by using Lyapunov method. In [33], Chen et al studied the Mittag-Leffler stability of the equilibrium point for memristor-based fractional-order neural networks by using Lyapunov method.…”

Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

“…During the past decades, the dynamical behavior of fractional-order neural networks has attracted tremendous attention of numerous authors. For example, Wang et al [18] investigated the global stability analysis of fractional-order Hopfield neural networks with time delay, Zhang et al [22] considered the Mittag-Leffler stability of fractional-order Hopfield neural networks, Wang et al [16] discussed the asymptotic stability of delayed fractional-order neural networks with impulsive effects, Wang et al [17] focused on the stability analysis of fractional-order Hopfield neural networks with time delays. For more detailed work, we refer the readers to [5,6,8,9,14,19].…”