This paper investigates the practical generalized finite-time synchronization (PGFETS) of duplex networks with quantized and delayed couplings. Given that continuous transmission of signals will increase the load and cost of communication, we introduce quantized couplings in the model. Then, via the theorem of finite-time stability, the PGFETS is proposed based on the fact that PGFETS is much more extensive and practical than classical finite-time synchronization. Some sufficient criteria are formulated to achieve the goal of synchronization by utilizing quantized intermittent control schemes. Lastly, the validity of the theoretical results is illustrated by numerical simulations.

This article investigates finite-time synchronization (FTS) of network systems (NSs) with intermittent delayed couplings and stochastic perturbations. A channel matrix is introduced to describe the partial couplings of NSs, and state-dependent parameters are also considered to characterize the weight matrices. In order to deal with the intermittent couplings and reduce the control cost, an intermittent control scheme is designed. Based on the 2-norm Lyapunov function and new analytical methods, FTS is achieved, and the settling time is also estimated. Besides, two special cases are presented which indicate that our models are more general than some existing models. Finally, the synchronization criteria are verified by some simulations.