Practical prescribed/prescribed time stabilization via event-triggered impulsive control with actuation delays

The present work investigates the problem of practical prescribed / prescribed-time stabilization of nonlinear systems by virtue of event-triggered impulsive control with actuation delays. Two event-triggering mechanisms E T M based on continuous event detection are put forward in this context. In both cases, impulse control inputs are updated after a specific time, known as actuation delays, to the event-triggering instants. Lyapunov-like sufficient conditions are proposed to achieve practical prescribed/prescribed-time stability of impulse-controlled systems with actuation delays corresponding to the designed first and second E T M , respectively. Moreover, both of the proposed E T M is free from Zeno behavior. Furthermore, two examples are considered and corresponding numerical simulations are performed to convey and validate the efficacy of the proposed theoretical results.