@article{Feng2024, 
author = {Lichao Feng and Mengyuan Dai and Nan Ji and Yingli Zhang and Liping Du},
title = {Prescribed-time stabilization of nonlinear systems with uncertainties/disturbances by improved time-varying feedback control},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23859-23877},
keywords = {nonlinear system, prescribed-time stability, state feedback, time-varying feedback control, parametric Lyapunov equation},
url = {https://www.sciopen.com/article/10.3934/math.20241159},
doi = {10.3934/math.20241159},
abstract = {We address the prescribed-time stability of a class of nonlinear system with uncertainty/disturbance. With the help of the parametric Lyapunov equation (PLE), we designed a state feedback control to regulate the full-state of a controlled system within prescribed time, independent of initial conditions. The result illustrated that the controlled state converges to zero as  t approaches the settling time and remains zero thereafter. It was further proved that the controller is bounded by a constant that depends on the system state. A numerical example is presented to verify the validity of the theoretical results.}
}