Pinning synchronization for reaction-diffusion neural networks with delays by mixed impulsive control

Finite-Time Synchronization of Reaction-Diffusion Inertial Memristive Neural Networks via Gain-Scheduled Pinning Control

“…IMNNs that are a class of complex PVSs, inspired by Lu et al [31], Yi et al [32], Dharani et al [33], Li et al [34], Nguyen et al [35], Shen et al [36], and Ugrinovskii et al [37], this article makes the first attempt to employ gain-scheduled control and PCSs, which could not only improve the control precision and effect but also greatly save the control costs. 2) When it comes to synchronization of IMNNs via linear matrix inequality (LMI) methods, it is always a challenge to deal with inconsistent parameters caused by memristors in drive-and-response systems.…”

“…So far, some results on pinning control for the systems associated with this article have appeared. For example, [31] and [32] studied the pinning control issue of reaction-diffusion NNs; by employing pinning sampleddata control scheme, some synchronization criteria of coupled inertial NNs were proposed in [33]; for MNNs with strong mismatch characteristics, the robust synchronization issue was investigated in [34] via a pinning controller, and so on. Pinning control strategies in the aforementioned articles can be divided into two categories: 1) for the controlled neuron, only the error information associated with itself is used for feedback [26]- [28], [30]- [33] and 2) for the controlled neuron, the error information associated with all neurons of the system is used for feedback [29], [34].…”

Rössler-network with time delay: Univariate impulse pinning synchronization

“…By employing the pinning ratio, a novel pinning strategy was proposed to determine the node selection 12 . A mixed impulse pinning controller was proposed for the reaction-diffusion neural networks with time-varying and distributed delays 13 . Impulse pinning control was also proposed for stabilizing nonlinear dynamical networks with time-varying delay 14 .…”

“…However, univariate impulse control for a network becomes more challenging when combining with pinning control. Amid the mentioned references [11][12][13][14][15] , two issues have been considered for impulse pinning control : (1) What is the coupling strength allowing synchronization of all nodes in the network? (2) How to select the pinned nodes for optimal control of the network?…”