Prescribed-time stabilization for nonlinear systems via hybrid continuous and dynamic event-triggered impulsive control

Here, by integrating continuous control and dynamic event-triggered impulsive control (DETIC) based on a piecewise function ratio framework, a hybrid control strategy is developed to solve prescribed-time stabilization (PTS) for nonlinear systems. Different from the traditional methods, the designed hybrid control strategy is rooted in DETIC, and the designed triggering mechanism allows the impulsive triggering instants to be dynamically adjusted, with the Zeno behavior being eliminated. The dynamic event-triggered mechanism (DETM) is utilized to determine the instants of impulses, thereby reducing unnecessary control execution and enhancing control efficiency. Moreover, the proposed approach is utilized for the master-slave synchronization of the Lorenz system, and numerical experiments are conducted to demonstrate the practicality and efficiency of the developed hybrid control scheme.