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Conference Paper: On the robust stability of continuous-time and discrete-time time-invariant uncertain systems with rational dependence on the uncertainty: A non-conservative condition

TitleOn the robust stability of continuous-time and discrete-time time-invariant uncertain systems with rational dependence on the uncertainty: A non-conservative condition
Authors
KeywordsAutomatic control
Conservative conditions
Discrete-time uncertain systems
Generalized eigenvalue problems
Quadratic lyapunov function
Issue Date2010
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002050
Citation
The 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA2010), Harbin, China, 8-10 June 2010. In Conference Proceedings, 2010, p. 1367-1372 How to Cite?
AbstractA key problem in automatic control consists of investigating robust stability of systems with uncertainty. This paper considers linear systems with rational dependence on time-invariant uncertainties constrained in the simplex. It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem constructed through homogeneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). Moreover, it is shown that this condition is also necessary for establishing either stability or instability by using a sufficiently large degree of the HPD-QLF. Some numerical examples illustrate the use of the proposed approach in both cases of continuous-time and discrete-time uncertain systems. ©2010 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/129697
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.date.accessioned2010-12-23T08:41:06Z-
dc.date.available2010-12-23T08:41:06Z-
dc.date.issued2010en_HK
dc.identifier.citationThe 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA2010), Harbin, China, 8-10 June 2010. In Conference Proceedings, 2010, p. 1367-1372en_HK
dc.identifier.isbn978-1-4244-6044-1-
dc.identifier.urihttp://hdl.handle.net/10722/129697-
dc.description.abstractA key problem in automatic control consists of investigating robust stability of systems with uncertainty. This paper considers linear systems with rational dependence on time-invariant uncertainties constrained in the simplex. It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem constructed through homogeneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). Moreover, it is shown that this condition is also necessary for establishing either stability or instability by using a sufficiently large degree of the HPD-QLF. Some numerical examples illustrate the use of the proposed approach in both cases of continuous-time and discrete-time uncertain systems. ©2010 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002050-
dc.relation.ispartofInternational Symposium on Systems and Control in Aeronautics and Astronauticsen_HK
dc.rightsProceedings of the International Symposium on Systems and Control in Aeronautics and Astronautics. Copyright © IEEE.-
dc.rights©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAutomatic control-
dc.subjectConservative conditions-
dc.subjectDiscrete-time uncertain systems-
dc.subjectGeneralized eigenvalue problems-
dc.subjectQuadratic lyapunov function-
dc.titleOn the robust stability of continuous-time and discrete-time time-invariant uncertain systems with rational dependence on the uncertainty: A non-conservative conditionen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/ISSCAA.2010.5633207en_HK
dc.identifier.scopuseid_2-s2.0-79952125282en_HK
dc.identifier.hkuros176914en_US
dc.identifier.hkuros201439-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952125282&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage1367en_HK
dc.identifier.epage1372en_HK
dc.publisher.placeUnited States-
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.customcontrol.immutablesml 150206-

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