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Conference Paper: On the robust asymptotical stability of uncertain complex matrices over the complex unit circumference

TitleOn the robust asymptotical stability of uncertain complex matrices over the complex unit circumference
Authors
KeywordsAsymptotic stability
Linear matrix inequalities
Lyapunov methods
Mathematical model
Robustness
Symmetric matrices
Uncertainty
Issue Date2015
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188
Citation
The 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15-18 December 2015. In IEEE Conference on Decision and Control Proceedings, 2015, p. 5978-5983 How to Cite?
AbstractThis paper addresses the problem of establishing whether a complex matrix depending polynomially on a scalar parameter and its conjugate constrained over the complex unit circumference is robustly asymptotically stable in either the continuous-time case or the discrete-time case. A necessary and sufficient condition is proposed in terms of a linear matrix inequality (LMI) feasibility test based on complex Lyapunov functions depending polynomially on the uncertainty. Specifically, the condition is sufficient for any arbitrarily chosen degree of the Lyapunov function. Moreover, the condition is also necessary for a sufficiently large degree of the Lyapunov function, and an upper bound on the minimum degree required for achieving necessity is also provided. Some numerical examples illustrate the proposed results. © 2015 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/227529
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.date.accessioned2016-07-18T09:11:15Z-
dc.date.available2016-07-18T09:11:15Z-
dc.date.issued2015-
dc.identifier.citationThe 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15-18 December 2015. In IEEE Conference on Decision and Control Proceedings, 2015, p. 5978-5983-
dc.identifier.isbn978-1-4799-7884-7-
dc.identifier.issn0743-1546-
dc.identifier.urihttp://hdl.handle.net/10722/227529-
dc.description.abstractThis paper addresses the problem of establishing whether a complex matrix depending polynomially on a scalar parameter and its conjugate constrained over the complex unit circumference is robustly asymptotically stable in either the continuous-time case or the discrete-time case. A necessary and sufficient condition is proposed in terms of a linear matrix inequality (LMI) feasibility test based on complex Lyapunov functions depending polynomially on the uncertainty. Specifically, the condition is sufficient for any arbitrarily chosen degree of the Lyapunov function. Moreover, the condition is also necessary for a sufficiently large degree of the Lyapunov function, and an upper bound on the minimum degree required for achieving necessity is also provided. Some numerical examples illustrate the proposed results. © 2015 IEEE.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188-
dc.relation.ispartofIEEE Conference on Decision and Control Proceedings-
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers.-
dc.subjectAsymptotic stability-
dc.subjectLinear matrix inequalities-
dc.subjectLyapunov methods-
dc.subjectMathematical model-
dc.subjectRobustness-
dc.subjectSymmetric matrices-
dc.subjectUncertainty-
dc.titleOn the robust asymptotical stability of uncertain complex matrices over the complex unit circumference-
dc.typeConference_Paper-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1109/CDC.2015.7403159-
dc.identifier.scopuseid_2-s2.0-84962027558-
dc.identifier.hkuros259220-
dc.identifier.spage5978-
dc.identifier.epage5983-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 160804-

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