@article{Xu2024, 
author = {Tian Xu and Jin-E Zhang},
title = {Intermittent control for stabilization of uncertain nonlinear systems via event-triggered mechanism},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {28487-28507},
keywords = {finite-time, uncertain nonlinear systems, impulsive disturbance, aperiodic intermittent control},
url = {https://www.sciopen.com/article/10.3934/math.20241382},
doi = {10.3934/math.20241382},
abstract = {This paper studies the finite-time stabilization (FTS) and finite-time contraction stabilization (FTCS) of parameter-uncertain systems subjected to impulsive disturbances by using an event-triggered aperiodic intermittent control (EAPIC) method, which combines aperiodic intermittent control with event-triggered control. By employing the Lyapunov method and linear matrix inequality techniques, sufficient conditions for FTS and FTCS are derived. Additionally, within the finite-time control framework, relationships among impulsive disturbance, intermittent control parameters, and event-triggered mechanism (ETM) thresholds are established under EAPIC to ensure FTS and FTCS. The sequence of impulsive moments is determined by a predetermined ETM, and Zeno phenomena are also excluded. Finally, the effectiveness of the EAPIC approach is demonstrated through two numerical examples.}
}