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dc.contributor.author
Haimovich, Hernan
dc.contributor.author
Braslavsky, Julio H.
dc.date.available
2015-12-23T14:58:30Z
dc.date.issued
2013-02-18
dc.identifier.citation
Haimovich, Hernan; Braslavsky, Julio H.; Sufficient conditions for generic feedback stabilizability of switching systems via lie-algebraic solvability; Institute of Electrical and Electronics Engineers; IEEE Transactions on Automatic Control; 58; 3; 18-2-2013; 814-820
dc.identifier.issn
0018-9286
dc.identifier.uri
http://hdl.handle.net/11336/3199
dc.description.abstract
We address the stabilization of switching linear systems (SLSs) with control inputs under arbitrary switching. A sufficient condition for the stability of autonomous (without control inputs) SLSs is that the individual subsystems are stable and the Lie algebra generated by their evolution matrices is solvable. This sufficient condition for stability is known to be extremely restrictive and therefore of very limited applicability. Our main contribution is to show that, in contrast to the autonomous case, when control inputs are present the existence of feedback matrices for each subsystem so that the corresponding closed-loop matrices satisfy the aforementioned Lie-algebraic stability condition can become a generic property, hence substantially improving the applicability of such Lie-algebraic techniques in some cases. Since the validity of this Lie-algebraic stability condition implies the existence of a common quadratic Lyapunov function (CQLF) for the SLS, our results yield an analytic sufficient condition for the generic existence of a control CQLF for the SLS.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Institute of Electrical and Electronics Engineers
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Common Quadratic Lyapunov Function
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Switching Linear Systems
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Uniform Global Exponential Stability
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Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Sistemas de Automatización y Control
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Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
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Control Automático y Robótica
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Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
Sufficient conditions for generic feedback stabilizability of switching systems via lie-algebraic solvability
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
58
dc.journal.number
3
dc.journal.pagination
814-820
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Ingeniería Electrónica. Departamento de Control. Laboratorio de Sistemas Dinámicos y Procesamiento de Información; Argentina
dc.description.fil
Fil: Braslavsky, Julio H.. Australian Commonwealth Scientific and Industrial Research Organization. Division of Energy Technology; Australia
dc.journal.title
IEEE Transactions on Automatic Control
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://ieeexplore.ieee.org/document/6298939
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1109/TAC.2012.2218151
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