Discrete- Time ZND Stabilization Control of the 4th-Order Hyper-Chaotic Lu System with One Input via Four-Instant ZeaD Formulas

In this study, the hyper-chaotic 4th-order Lu system stabilization (or say, stabilizing) problem is solved based on Zhang neural dynamics (ZND) method as well as four-instant Zhang et al discretization (ZeaD) formulas. Firstly, the controller for hyper-chaotic single-input 4th-order Lu system stabilizing is developed by using ZND method. Then, by discretizing the continuous ZND stabilizing controller, the discrete-time ZND stabilizing models are obtained, and the four-instant ZeaD formulas are adopted during this process. Finally, computer experiments are performed to check the accuracy and the effectiveness of our discrete-time ZND stabilizing models for hyper-chaotic 4th-order Lu system stabilizing.