New sufficient conditions on global asymptotic synchronization of inertial delayed neural networks by using integrating inequality techniques

Synchronization Control of High-Order Inertial Hopfield Neural Network with Time Delay

“…On the exponential synchronization of neural networks, the previous studies [20][21][22][23][24][25][26][27][28][29][30][31] either evaluate the synchronization stability of inertial neural networks or that of high-order neural networks. The inertia item complicates the dynamic features of the neural network, while the high-order term induces bifurcation and chaos.…”

“…Tang and Jian [24] solved the exponential synchronization of inertial neural networks with periodic intermittent control and hybrid variable delay. With the aid of integral inequality, Zhang and Ren [25] came up with the new sufficient conditions for global asymptotic synchronization of inertial delayed neural networks. Ke and Li [26,27] provided the sufficient conditions for exponential synchronization of inertial neural networks and inertial Cohen-Grossberg neural networks.…”

“…To sum up, the inertia term [21][22][23][24][25][26][27] and high-order term [28] have not been considered simultaneously in the previous research on the exponential synchronization of neural network. To make up for the gap, this paper explores the exponential synchronization of high-order inertial of Hopfield neural networks with time delay.…”

General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction–diffusion terms

“…Remark 3 Recently, some scholars investigated the synchronization and finite-time synchronization of NNs by using integrating inequality technique, instead of conventional methods, such as linear matrix inequality method, matrix measure strategy and so on [50][51][52]. In [50], Zhang et al established some new sufficient conditions on global asymptotic synchronization for delayed inertial NNs by constructing different Lyapunov functions and using the constructed integral inequality. These results on the synchronization are novel and interesting.…”

“…To the best of our knowledge, this is the first paper toward to studying the decay anti-synchronization of MWC-NNs. In our future work, it would be very interesting to study the decay anti-synchronization of MWCNNs by using some novel inequality techniques, e.g., integral inequality constructed in Lemma 2.1 of [50].…”