Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems

Mancilla-Aguilar, J. L.; García Galiñanes, Rafael

Artículo de Publicación Periódica:
Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems

dc.contributor.author	Mancilla-Aguilar, J. L.
dc.contributor.author	García Galiñanes, Rafael
dc.date.accessioned	2020-01-14T15:29:39Z
dc.date.available	2020-01-14T15:29:39Z
dc.date.issued	2019-07
dc.description.abstract	"This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim, the notion of reduced limiting control systems for switched NLTV systems whose switchings verify time/state-dependent constraints, and the concept of weak zero-state detectability for those reduced limiting systems are introduced. Necessary and sufficient conditions for the (global)uniform asymptotic stability of families of trajectories of the switched system are obtained in terms of this detectability property. These sufficient conditions in conjunction with the existence of multiple weak Lyapunov functions yield a criterion for the (global) uniform asymptotic stability of families of trajectories of the switched system. This criterion can be seen as an extension of the classical Krasovskii-LaSalle theorem. An interesting feature of the results is that no dwell-Time assumptions are made. Moreover, they can be used for establishing the global uniform asymptotic stability of the switched NLTV system under arbitrary switchings. The effectiveness of the proposed results is illustrated by means of various interesting examples, including the stability analysis of a semiquasi-Z-source inverter."	en
dc.identifier.issn	0018-9286
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/1860
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2018.2872517
dc.relation	info:eu-repo/grantAgreement/ANPCyT/PICT/2014-2599/AR. Ciudad Autónoma de Buenos Aires
dc.subject	SISTEMAS NO LINEALES	es
dc.subject	ESTABILIDAD ASINTOTICA	es
dc.subject	FUNCIONES DE LYAPUNOV	es
dc.subject	INTERRUPTORES DE TIEMPO	es
dc.title	Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems	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: García Galiñanes, Rafael. Instituto Tecnológico de Buenos Aires; Argentina.