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dc.contributor.author
González, Graciela Adriana
dc.contributor.author
Nielsen, Christopher
dc.contributor.author
Bortoff, Zachary
dc.date.available
2023-06-23T14:56:14Z
dc.date.issued
2022-11
dc.identifier.citation
González, Graciela Adriana; Nielsen, Christopher; Bortoff, Zachary; Attractivity of unstable equilibria for a controlled Chen system via small output feedback; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 164; 11-2022; 1-9
dc.identifier.issn
0960-0779
dc.identifier.uri
http://hdl.handle.net/11336/201293
dc.description.abstract
We present an output feedback controller for a single-input single-output variant of the Chen dynamical system that renders an unstable equilibrium point of the unforced system attractive using small control signals. The controller first exploits ergodicity of the unforced dynamics to asymptotically estimate the system's state vector. Then, based on the proximity of the estimate to the desired equilibrium and a computable minimum wait time, a second stage begins applying static output error feedback. Attractivity is proven using interconnected system theory and Lyapunov analysis.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CONTROL OF CHAOS
dc.subject
INTERCONNECTED SYSTEMS
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NONLINEAR CONTROL
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OUTPUT FEEDBACK
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STATE ESTIMATION
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Attractivity of unstable equilibria for a controlled Chen system via small output feedback
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-06-21T10:51:40Z
dc.journal.volume
164
dc.journal.pagination
1-9
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: González, Graciela Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Nielsen, Christopher. University of Waterloo; Canadá
dc.description.fil
Fil: Bortoff, Zachary. University of Waterloo; Canadá
dc.journal.title
Chaos, Solitons And Fractals
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0960077922008219
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.chaos.2022.112642
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