On bounding a nonlinear system with a monotone positive system

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

Ponencia en Congreso:
On bounding a nonlinear system with a monotone positive system

dc.contributor.author	Haimovich, Hernán
dc.contributor.author	Mancilla-Aguilar, J. L.
dc.date.accessioned	2019-08-16T22:43:58Z
dc.date.available	2019-08-16T22:43:58Z
dc.date.issued	2017-12
dc.description.abstract	"How to bound the state vector trajectory of a nonlinear system in a way so that the obtained bound be of practical value is an open problem. If some norm is employed for bounding the state vector trajectory, then this norm should be carefully selected and the state vector components suitably scaled. In addition, practical applications usually require separate bounds on every state variable. Bearing this context in mind, we develop a novel componentwise bounding procedure applicable to both real and complex nonlinear systems with additive disturbances. A bound on the magnitude of the evolution of each state variable is obtained by computing a single trajectory of a well-specified 'bounding' system constructed from the original system equations and the available disturbance bounds. The bounding system is shown to have highly desirable properties, such as being monotone and positive. We provide preliminary results establishing that key stability features are preserved by the bounding system for systems in triangular form."	en
dc.identifier.isbn	978-9875-447-54-7
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/1719
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.23919/RPIC.2017.8211615
dc.relation	info:eu-repo/grantAgreement/FONCyT/PICT/2013-0852/AR. Ciudad Autónoma de Buenos Aires
dc.relation	info:eu-repo/grantAgreement/FONCyT/PICT/2014-2599/AR. Ciudad Autónoma de Buenos Aires
dc.subject	VECTORES	es
dc.subject	SISTEMAS NO LINEALES	es
dc.subject	INTERACCION PERSONA COMPUTADORA	es
dc.subject	PROBLEMAS DE VALORES DE CONTORNO	es
dc.title	On bounding a nonlinear system with a monotone positive system	en
dc.type	Ponencias en Congresos	es
dc.type	info:eu-repo/semantics/acceptedVersion
dspace.entity.type	Ponencia en Congreso
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: Mancilla-Aguilar, J. L. Instituto Tecnológico de Buenos Aires; Argentina.