Jiménez-Rodríguez, EstebanMuñoz-Vázquez, Aldo J.Sánchez-Torres, Juan D.Loukianov, Alexander2018-12-142018-12-142018-06E. Jiménez-Rodrıguez, J.D. Sánchez-Torres, A.J. Muñoz Vázquez, and A. Loukianov (2018). A note on predefined-time stability. 2nd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2018 - Guadalajara, Jalisco, Mexico, 20–22 June 2018. IFAC PapersOnLine 51-13 (2018) 520–525. doi.org/10.1016/j.ifacol.2018.07.3322405-8963http://hdl.handle.net/11117/5763This note presents a new characterization for predefined-time-stable systems based on Lyapunov stability. In contrast to the previous results in predefined-time stability, the proposed characterization allows the construction of predefined-time stabilizing controllers with polynomial terms instead of exponential ones, removing the exponential nature hypothesis of predefined-time-stable systems. Moreover, the existing Lyapunov characterization of predefined-time stability is shown to be a consequence of the new theorem presented in this paper. Finally, the proposed approach is used for the construction of robust predefined-time stabilizing controllers for first-order systems. A simulation example shows the feasibility of the proposed methods.engFinite time stabilityPredefined time stabilityNonlinear systemsLyapunov stabilityinfo:eu-repo/semantics/article