(Integral-)ISS of switched and time-varying impulsive systems  based on global state weak linearization

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

Artículo de Publicación Periódica:
(Integral-)ISS of switched and time-varying impulsive systems based on global state weak linearization

dc.contributor.author	Mancilla-Aguilar, J. L.
dc.contributor.author	Haimovich, Hernán
dc.date.accessioned	2022-05-12T14:11:00Z
dc.date.available	2022-05-12T14:11:00Z
dc.date.issued	2021
dc.description.abstract	"It is shown that impulsive systems of nonlinear, time-varying and/or switched form that allow a stable global state weak linearization are jointly input-to-state stable (ISS) under small inputs and integral ISS (iISS). The system is said to allow a global state weak linearization if its flow and jump equations can be written as a (time-varying, switched) linear part plus a (nonlinear) pertubation satisfying a bound of affine form on the state. This bound reduces to a linear form under zero input but does not force the system to be linear under zero input. The given results generalize and extend previously existing ones in many directions: (a) no (dwell-time or other) constraints are placed on the impulse-time sequence, (b) the system need not be linear under zero input, (c) existence of a (common) Lyapunov function is not required, (d) the perturbation bound need not be linear on the input."	en
dc.identifier.issn	0018-9286
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/3882
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2021.3137058
dc.relation	info:eu-repo/grantAgreement/FONCyT/PICT/2018-01385/AR. Ciudad Autónoma de Buenos Aires.
dc.subject	ESTABILIDAD ASINTOTICA	es
dc.subject	ECUACIONES NO LINEALES	es
dc.subject	FUNCIONES DE LYAPUNOV	es
dc.subject	SISTEMAS TIEMPO VARIANTES	es
dc.subject	TECNICAS DE PERTURBACION	es
dc.subject	RESPUESTA IMPULSIVA	es
dc.title	(Integral-)ISS of switched and time-varying impulsive systems based on global state weak linearization	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.