Ballaben, RiccardoAstolfi, AlessandroBraun, PhilippZaccarian, Luca2026-06-112026-06-1197983315262760743-1546ORCID:/0000-0002-9619-1483/work/217150125https://hdl.handle.net/1885/733810676In this paper we propose discontinuous control laws to globally stabilize a target position for a hovercraft. Equations of motion of the hovercraft are derived through a kinematic model approximation of a dynamic model taken from the literature. Discontinuous feedback laws for the kinematic and the dynamic model are derived and analyzed using a hybrid systems formulation of the closed-loop dynamics. Numerical simulations confirm the theoretical results and validate the kinematic model as a accurate simplification of the dynamic model.This work is supported in part by the MUR via grant DOCEAT, CUP E63C22000410001, number 2020RTWES4, and by the ANR via grant OLYMPIA, number ANR-23-CE48-0006. P. Braun is supported in part by the ANU CIICADA lab and the United States Air Force Office of Scientific Research under Grant No. FA2386-24-1-4014.6enPublisher Copyright: © 2025 IEEE.202510.1109/CDC57313.2025.11312234105031884201