A class of predefined-time stable dynamical systems

dc.contributor.authorSánchez-Torres, Juan D.
dc.contributor.authorGómez-Guitiérrez, David
dc.contributor.authorLoukianov, Alexander
dc.contributor.authorLópez, Esteban
dc.date.accessioned2017-10-10T18:45:27Z
dc.date.available2018-02-11T11:00:18Z
dc.date.issued2017-02-27
dc.descriptionThis article introduces predefined-time stable dynamical systems which are a class of fixed-time stable dynamical systems with settling time as an explicit parameter that can be defined in advance. This concept allows for the design of observers and controllers for problems that require to fulfil hard time constraints. An example is encountered in the fault detection and isolation problem, where mode detection in a timely manner needs to be guaranteed in order to apply a recovery action. Furthermore, through the notion of strong predefined-time stability, the approach hereinafter presented permits to overcome the problem of overestimation of the convergence time bound encountered in previous methods for the analysis of finite-time stable systems, where the stabilization time is often an unbounded function of the initial conditions of the system. A Lyapunov analysis is provided together with a detailed discussion of the applications to consensus and first order sliding mode controller design.es
dc.identifier.citationJuan Diego Sánchez-Torres, David Gómez-Gutiérrez, Esteban López and Alexander Loukianov (2017). A class of predefined-time stable dynamical systems, IMA Journal of Mathematical Control and Information. doi.org/10.1093/imamci/dnx004es
dc.identifier.issn0265-0754
dc.identifier.urihttp://hdl.handle.net/11117/4996
dc.language.isoenges
dc.publisherOxford University Presses
dc.relation.ispartofseriesIMA Journal of Mathematical Control and Information;34
dc.rights.urihttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdfes
dc.subjectPredefined-time stabilityes
dc.titleA class of predefined-time stable dynamical systemses
dc.typeinfo:eu-repo/semantics/articlees
rei.embargo.terms4 meseses
rei.peerreviewedYeses
rei.revisorOxford University Press

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