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dc.contributor.author
Kofman, Ernesto Javier
dc.contributor.author
De Doná, José A.
dc.contributor.author
Serón, María Marta
dc.date.available
2023-02-02T16:39:56Z
dc.date.issued
2012-10
dc.identifier.citation
Kofman, Ernesto Javier; De Doná, José A.; Serón, María Marta; Probabilistic set invariance and ultimate boundedness; Pergamon-Elsevier Science Ltd; Automatica; 48; 10; 10-2012; 2670-2676
dc.identifier.issn
0005-1098
dc.identifier.uri
http://hdl.handle.net/11336/186681
dc.description.abstract
The notions of invariant sets and ultimate bounds are important concepts in the analysis of dynamical systems and very useful tools for the design of control systems. Several approaches have been reported for the characterisation of these sets, including constructive methods for their computation and procedures to obtain different approximations. However, there are shortcomings in those concepts, in the sense that no general probability distributions can be considered for the disturbances affecting the system (which, for example, precludes the assumption of Gaussian distributions insofar as they are not bounded). Motivated by those shortcomings, we propose in this paper the novel concepts of probabilistic ultimate bounds and probabilistic invariant sets, which extend the notions of invariant sets and ultimate bounds to consider 'containment in probability', and have the important feature of allowing stochastic noises with more general distributions, including the ubiquitous Gaussian distribution, to be considered. We introduce some key definitions for these sets, establish their main properties and develop methods for their computation. A numerical example illustrates the main ideas.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
INVARIANT SETS
dc.subject
LINEAR SYSTEMS
dc.subject
PROBABILISTIC METHODS
dc.subject
ULTIMATE BOUNDS
dc.subject.classification
Sistemas de Automatización y Control
dc.subject.classification
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
dc.title
Probabilistic set invariance and ultimate boundedness
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-04-23T21:42:33Z
dc.journal.volume
48
dc.journal.number
10
dc.journal.pagination
2670-2676
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Kofman, Ernesto Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
dc.description.fil
Fil: De Doná, José A.. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. University of Newcastle; Reino Unido
dc.description.fil
Fil: Serón, María Marta. Universidad de Newcastle; Australia
dc.journal.title
Automatica
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.automatica.2012.06.074
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0005109812003408
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