Pinning synchronization of fractional memristor-based neural networks with neutral delays and reaction–diffusion terms

Edge-Based Synchronization Control Criteria of Complex Dynamical Networks with Reaction–Diffusions

“…(i) In the existing research, various network systems with R-Ds have been extensively studied, (but not for DCDNs systems). For example, inertial neural networks (INNs) [18][19][20][21][22], memristor neural networks (MNNs) [23][24][25][26][27][28][29][30], fuzzy systems [31][32][33][34], and Kuramoto model [35,36]. (ii) There are also many results on the dynamical behavior of R-D networks.…”

“…In [28], Liu et al used the preassigned-time stability control strategy to discuss the preassigned-time synchronization problem of complex-valued MNNs with Markov parameters. In [29,30], Wu et al investigated the synchronization and stability of fractional MNNs with delays by using the pinning control method. (iii) As research continues to evolve, different control methods have been developed for networks with R-Ds, such as intermittent control [19,22,26,33], pinning control [25,29,30], and edge-based pinning control [14][15][16].…”

“…In [29,30], Wu et al investigated the synchronization and stability of fractional MNNs with delays by using the pinning control method. (iii) As research continues to evolve, different control methods have been developed for networks with R-Ds, such as intermittent control [19,22,26,33], pinning control [25,29,30], and edge-based pinning control [14][15][16]. To our delight, in [33], Hu et al discussed the FxTS of fuzzy CDNs by means of intermittent pinning control, and proposed several LMIs to obtain synchronization criteria (not the DCDNs, and the control methods are different).…”

“…A control method, the edge-based adaptive pinning control, is adopted. It combines the advantages of adaptive control [26,32,36] and pinning control [4,11,20,25,30,33]. Further using the coupling effect of the network edge structure, the network synchronization can be realized only by pinning one edge of the networks, and this edge is arbitrarily selected.…”

Asymptotic and Mittag–Leffler Synchronization of Fractional-Order Octonion-Valued Neural Networks with Neutral-Type and Mixed Delays

“…It is natural that this type of delay was also added to neural network models, because they have been seen to appear when VLSI circuits are used for implementing neural networks. FONNs with neutral-type delays were the focus of the following recent papers: [20,21,26,[57][58][59].…”