@article{Kallel2023, 
author = {Wajdi Kallel and Noura Allugmani},
title = {Finite-time stabilization of stochastic systems with varying parameters},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {8},
pages = {17687-17701},
keywords = {stabilization, Lyapunov function, stochastic systems, finite time stability, homogeneous system},
url = {https://www.sciopen.com/article/10.3934/math.2023903},
doi = {10.3934/math.2023903},
abstract = {This research deals with the stabilization of the stochastic nonlinear systems. In order to achieve the asymptotic stability in probability with respect to unknown bounded disturbances, a control Lyapunov function is applied to present a modified Sontag's homogeneous controller. The obtained results reveal that the presented control achieves the desirable robust asymptotic stability in probability. The finite-time stability in probability for stochastic nonlinear systems is also discussed in this manuscript. Simulation examples are provided to demonstrate the effectiveness of the controllers.}
}