For linear systems with polytopic uncertainties, the problem of robust finite-time stabilization is reduced to a system of Linear Matric Inequalities.
IEEE CONFERENCE ON DECISION AND CONTROL
Abdallah, Chaouki T.; Peter Dorato; and D. Famularo. "Robust finite-time stability design via linear matrix inequalities." IEEE CONFERENCE ON DECISION AND CONTROL (1997): 1305-1306. https://digitalrepository.unm.edu/ece_fsp/222