On Pinning Linear and Adaptive Synchronization of Multiple Fractional-Order Neural Networks With Unbounded Time-Varying Delays

Finite‐time synchronization of multi‐weighted fractional‐order coupled neural networks with fixed and adaptive couplings

“…Therefore, CNNs have also been extended to the fractional‐order situation. On the one hand, fractional‐order CNNs have a better description of the memory 23 and genetic 24 properties in modeling real‐world systems. On the other hand, fractional‐order CNNs also increase the degree of freedom through the order of fractional‐order derivatives, which greatly enriches the dynamic behavior 25 .…”

“…Therefore, the research on CNNs with adaptive coupling weights is of great significance and has a wider range of applications. Recently, several adaptive control techniques to adjust the coupling weights have been proposed by some scholars, which have guaranteed that CNNs can realize synchronization 23,31 . In the literature, 31,32 some adaptive strategies to tune the coupling weights have been devised to ensure the output synchronization of CNNs with external disturbances.…”

“…Recently, several adaptive control techniques to adjust the coupling weights have been proposed by some scholars, which have guaranteed that CNNs can realize synchronization. 23,31 In the literature, 31,32 some adaptive strategies to tune the coupling weights have been devised to ensure the output synchronization of CNNs with external disturbances. In the literature, 23 a fractional-order CNNs model with unbounded time-varying delays has been considered, and several synchronization criteria were established by using the Lyapunov method and the proposed adaptive control strategy.…”

“…23,31 In the literature, 31,32 some adaptive strategies to tune the coupling weights have been devised to ensure the output synchronization of CNNs with external disturbances. In the literature, 23 a fractional-order CNNs model with unbounded time-varying delays has been considered, and several synchronization criteria were established by using the Lyapunov method and the proposed adaptive control strategy. However, among the existing results, few authors have studied the FTS for multi-weighted fractional-order coupled neural networks (MFCNNs) with adaptive couplings.…”

Synchronization Analysis of Fractional-Order Neural Networks With Adaptive Intermittent-Active Control

“…T HE study of fractional order systems, the same as integer order, blossoms and yields fruit in various domains, such as digital encryption, quantitative finance, biotechnology, and so on, due to the properties of reflecting memory and heredity [1]- [3]. Fractional order neural networks (FONNs), as an important branch in complex networks [4]- [8], can replicate complicated dynamic behaviors and have garnered tons of attention in the directions of stability, bifurcation, and synchronization [9]- [11].…”