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dc.contributor.author
Mancilla Aguilar, Jose Luis
dc.contributor.author
Haimovich, Hernan
dc.contributor.author
Feketa, Petro
dc.date.available
2022-02-22T14:45:41Z
dc.date.issued
2020-09
dc.identifier.citation
Mancilla Aguilar, Jose Luis; Haimovich, Hernan; Feketa, Petro; Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency; Elsevier; Nonlinear Analysis: Hybrid Systems; 38; 100933; 9-2020; 1-20
dc.identifier.issn
1751-570X
dc.identifier.uri
http://hdl.handle.net/11336/152470
dc.description.abstract
We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as zero-input global uniform asymptotic stability (0-GUAS), are covered by employing a two-measure framework and considering stability of both weak (decay depends only on elapsed time) and strong (decay depends on elapsed time and the number of impulses) flavors. By contrast to many existing results, the stability state bounds imposed are uniform with respect to initial time and also with respect to classes of impulse-time sequences where the impulse frequency is eventually uniformly bounded. We show that the considered classes of impulse-time sequences are substantially broader than other previously considered classes, such as those having fixed or (reverse) average dwell times, or impulse frequency achieving uniform convergence to a limit (superior or inferior). Moreover, our sufficient conditions are stronger, less conservative and more widely applicable than many existing results.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
HYBRID SYSTEMS
dc.subject
IMPULSIVE SYSTEMS
dc.subject
INPUT-TO-STATE STABILITY
dc.subject
NONLINEAR SYSTEMS
dc.subject
TIME-VARYING SYSTEMS
dc.subject.classification
Control Automático y Robótica
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Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
dc.subject.classification
Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-08-19T19:59:18Z
dc.journal.volume
38
dc.journal.number
100933
dc.journal.pagination
1-20
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Mancilla Aguilar, Jose Luis. Instituto Tecnológico de Buenos Aires; Argentina
dc.description.fil
Fil: Haimovich, Hernan. 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: Feketa, Petro. Christian Albrechts Universitat Zu Kiel.; Alemania
dc.journal.title
Nonlinear Analysis: Hybrid Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.nahs.2020.100933
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S1751570X20300807
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