@article{Li2025, 
author = {Huiling Li and Jin-E Zhang and Ailong Wu},
title = {Finite-time stabilization of nonlinear systems with partially known states via aperiodic intermittent control and event-triggered impulsive control},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {3269-3290},
keywords = {finite-time stabilization, finite-time convergence stabilization, hybrid control, partially known states, dimension extension techniques},
url = {https://www.sciopen.com/article/10.3934/math.2025152},
doi = {10.3934/math.2025152},
abstract = {This paper proposes a hybrid control strategy that combines aperiodic intermittent control (APIC) and event-triggered impulsive control (ETIMC) to study the finite-time stabilization (FTS) and finite-time convergence stabilization (FTCS) problems for nonlinear systems with partially known states. By applying the Lyapunov control criterion, linear matrix inequality (LMI) conditions, and dimension extension techniques, impulsive control gains based on partially known states are derived, and sufficient conditions to achieve FTS and FTCS are provided. Within the hybrid control framework, a close relationship between event-triggered parameters, intermittent control width, and boundary parameters is established, effectively avoiding the occurrence of Zeno-behavior. Finally, two numerical examples are presented to validate the effectiveness of the proposed hybrid control method.}
}