General decay synchronization of memristor-based Cohen–Grossberg neural networks with mixed time-delays and discontinuous activations

Synchronization stability for recurrent neural networks with time-varying delays

“…Furthermore, the synchronization play an extremely important role in many fields of science including biology, climatology, sociology, ecology [13][14][15][16][17][18][19][20][21] . In view of the significance of the synchronization for delayed recurrent cellular neural networks (RCNNs), there are many important works have been developed to stabilize or synchronize neural networks and nonlinear systems [13][14][15][16][17][18][19][20][21][22][23][24] .…”

Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

“…Remark For the synchronization conditions given in other works, the time delays assumed to be constant delays or time‐varying delays that are differentiable such that their derivatives are not greater than one. Note that, in our assumption H 1 , those restrictions are removed in this paper, which means that our established results have a wider applicability.…”

“…The time evolution of synchronization errors between master-slave systems (38) and (39) are shown in Figures 7, 8, and 9, where the initial values of slave Remark 8. For the synchronization conditions given in other works, 2,23,24,[27][28][29][30]39 the time delays assumed to be constant delays or time-varying delays that are differentiable such that their derivatives are not greater than one. Note that, in our assumption H 1 , those restrictions are removed in this paper, which means that our established results have a wider applicability.…”

“…Even though we know that this equation is asymptotically stable, but we cannot able to estimate the convergent rate of the solution of it. This motivate us to define a new type of convergence rate, such as convergence with general decay …”

“…This motivate us to define a new type of convergence rate, such as convergence with general decay. 27,29,30 Furthermore, up to now, though the synchronization behaviors of various INNs with or without delays investigated extensively and many good results have been derived, [16][17][18][19][20]31 there is still a gap need to be filled. For instance, most of the aforementioned works regarded the transferred first-order differential system as a master system and then simply gave the slave system via first-order differential equation where the controllers added to both of the first and second equations of it.…”