A Note on Predefined-Time Stability

dc.creatorJiménez-Rodríguez, Esteban
dc.creatorMuñoz-Vázquez, Aldo J.
dc.creatorSánchez-Torres, Juan D.
dc.creatorLoukianov, Alexander
dc.date2018-12-14T19:37:53Z
dc.date2018-12-14T19:37:53Z
dc.date2018-06
dc.date.accessioned2023-07-21T21:58:29Z
dc.date.available2023-07-21T21:58:29Z
dc.identifierE. 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.2018.07.332
dc.identifier2405-8963
dc.identifierhttp://hdl.handle.net/11117/5763
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7756483
dc.descriptionThis 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.
dc.descriptionConsejo Nacional de Ciencia y Tecnología
dc.formatapplication/pdf
dc.languageeng
dc.publisherIFAC
dc.rightshttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdf
dc.subjectFinite time stability
dc.subjectPredefined time stability
dc.subjectNonlinear systems
dc.subjectLyapunov stability
dc.titleA Note on Predefined-Time Stability
dc.typeinfo:eu-repo/semantics/article


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