Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency

Mancilla-Aguilar, J. L.; Haimovich, Hernán; Feketa, Petro

Artículo de Publicación Periódica:
Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency

dc.contributor.author	Mancilla-Aguilar, J. L.
dc.contributor.author	Haimovich, Hernán
dc.contributor.author	Feketa, Petro
dc.date	info:eu-repo/date/embargoEnd/2022-12-01
dc.date.accessioned	2020-12-23T19:02:21Z
dc.date.available	2020-12-23T19:02:21Z
dc.date.issued	2020-11
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."	en
dc.identifier.issn	1751570X
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/3276
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nahs.2020.100933
dc.relation	info:eu-repo/grantAgreement/ANPCyT/PICT/2018-01385/AR. Ciudad Autónoma de Buenos Aires
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	SISTEMAS HIBRIDOS	es
dc.subject	SISTEMAS NO LINEALES	es
dc.subject	SISTEMAS TIEMPO VARIANTES	es
dc.subject	ESTABILIDAD ASINTOTICA	es
dc.title	Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency	en
dc.type	Artículos de Publicaciones Periódicas	es
dc.type	info:eu-repo/semantics/acceptedVersion
dspace.entity.type	Artículo de Publicación Periódica
itba.description.filiation	Fil: Mancilla-Aguilar, J. L. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiation	Fil: Haimovich, Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Haimovich, Hernán. Universidad Nacional de Rosario; Argentina.
itba.description.filiation	Fil: Feketa, Petro. Kiel University; Alemania.