On bounding a nonlinear system with a monotone positive system

"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 s...

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Detalles Bibliográficos
Autores principales: Haimovich, Hernán, Mancilla-Aguilar, J. L.
Formato: Ponencias en Congresos acceptedVersion
Lenguaje:Inglés
Publicado: 2019
Materias:
VECTORES
SISTEMAS NO LINEALES
INTERACCION PERSONA COMPUTADORA
PROBLEMAS DE VALORES DE CONTORNO
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/1719
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-1719
record_format dspace
spelling I32-R138-123456789-17192022-12-07T14:13:59Z On bounding a nonlinear system with a monotone positive system Haimovich, Hernán Mancilla-Aguilar, J. L. VECTORES SISTEMAS NO LINEALES INTERACCION PERSONA COMPUTADORA PROBLEMAS DE VALORES DE CONTORNO "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." 2019-08-16T22:43:58Z 2019-08-16T22:43:58Z 2017-12 Ponencias en Congresos info:eu-repo/semantics/acceptedVersion 978-9875-447-54-7 http://ri.itba.edu.ar/handle/123456789/1719 en info:eu-repo/semantics/altIdentifier/doi/10.23919/RPIC.2017.8211615 info:eu-repo/grantAgreement/FONCyT/PICT/2013-0852/AR. Ciudad Autónoma de Buenos Aires info:eu-repo/grantAgreement/FONCyT/PICT/2014-2599/AR. Ciudad Autónoma de Buenos Aires application/pdf
institution Instituto Tecnológico de Buenos Aires (ITBA)
institution_str I-32
repository_str R-138
collection Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA)
language Inglés
topic VECTORES
SISTEMAS NO LINEALES
INTERACCION PERSONA COMPUTADORA
PROBLEMAS DE VALORES DE CONTORNO
spellingShingle VECTORES
SISTEMAS NO LINEALES
INTERACCION PERSONA COMPUTADORA
PROBLEMAS DE VALORES DE CONTORNO
Haimovich, Hernán
Mancilla-Aguilar, J. L.
On bounding a nonlinear system with a monotone positive system
topic_facet VECTORES
SISTEMAS NO LINEALES
INTERACCION PERSONA COMPUTADORA
PROBLEMAS DE VALORES DE CONTORNO
description "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."
format Ponencias en Congresos
acceptedVersion
author Haimovich, Hernán
Mancilla-Aguilar, J. L.
author_facet Haimovich, Hernán
Mancilla-Aguilar, J. L.
author_sort Haimovich, Hernán
title On bounding a nonlinear system with a monotone positive system
title_short On bounding a nonlinear system with a monotone positive system
title_full On bounding a nonlinear system with a monotone positive system
title_fullStr On bounding a nonlinear system with a monotone positive system
title_full_unstemmed On bounding a nonlinear system with a monotone positive system
title_sort on bounding a nonlinear system with a monotone positive system
publishDate 2019
url http://ri.itba.edu.ar/handle/123456789/1719
work_keys_str_mv AT haimovichhernan onboundinganonlinearsystemwithamonotonepositivesystem
AT mancillaaguilarjl onboundinganonlinearsystemwithamonotonepositivesystem
_version_ 1765660971169218560

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