Nonrobustness of asymptotic stability of impulsive systems with inputs

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

Artículo de Publicación Periódica:
Nonrobustness of asymptotic stability of impulsive systems with inputs

dc.contributor.author	Haimovich, Hernán
dc.contributor.author	Mancilla-Aguilar, J. L.
dc.date	info:eu-repo/date/embargoEnd/2022-01-01
dc.date.accessioned	2020-12-28T18:31:17Z
dc.date.available	2020-12-28T18:31:17Z
dc.date.issued	2020-12
dc.description.abstract	"Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stability properties from the zero-input system. Whether this type of robustness holds or not for impulsive systems was still an open question. By means of suitable (counter)examples, we show that such stability robustness with respect to the inclusion of inputs cannot hold in general, not even for impulsive systems with time-invariant flow and jump maps. In particular, we show that zero-input global uniform asymptotic stability (0-GUAS) does not imply converging input converging state (CICS), and that 0-GUAS and uniform bounded-energy input bounded state (UBEBS) do not imply integral input-to-state stability (iISS). We also comment on available existing results that, however, show that suitable constraints on the allowed impulse–time sequences indeed make some of these robustness properties possible."	en
dc.identifier.issn	0005-1098
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/3278
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1016/j.automatica.2020.109238
dc.relation	info:eu-repo/grantAgreement/ANPCyT/PICT/2018-1385/AR. Ciudad Autónoma de Buenos Aires
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	SISTEMAS NO LINEALES	es
dc.subject	SISTEMAS TIEMPO VARIANTES	es
dc.subject	ESTABILIDAD ASINTOTICA	es
dc.title	Nonrobustness of asymptotic stability of impulsive systems with inputs	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: Haimovich, Hernán. Universidad Nacional de Rosario; Argentina.
itba.description.filiation	Fil: Haimovich, Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Mancilla-Aguilar, J. L. Instituto Tecnológico de Buenos Aires; Argentina.