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Conference Paper: LMI-Based Computation of the Instability Measure of Continuous-Time Linear Systems with a Scalar Parameter

TitleLMI-Based Computation of the Instability Measure of Continuous-Time Linear Systems with a Scalar Parameter
Authors
Issue Date2014
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225
Citation
The 27th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2014),Toronto, Canada, 4-7 May 2014. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2014, p. 1-6, article no, 6900976 How to Cite?
AbstractMeasuring the instability is a fundamental issue in control systems. This paper investigates the instability measure defined as the sum of the real parts of the unstable eigenvalues, which has important applications such as stabilization with information constraint. We consider continuous-time linear systems whose coefficients are linear functions of a scalar parameter constrained into an interval. The problem is to determine the largest instability measure for all admissible values of the parameter. Two sufficient and necessary conditions for establishing upper bounds on the sought instability measure are proposed in terms of linear matrix inequality (LMI) feasibility tests. The first condition exploits Lyapunov functions, while the second condition is based on the determinants of some specific matrices. Some numerical examples are used to compare the proposed conditions.
Persistent Identifierhttp://hdl.handle.net/10722/199366
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2014-07-22T01:15:37Z-
dc.date.available2014-07-22T01:15:37Z-
dc.date.issued2014en_US
dc.identifier.citationThe 27th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2014),Toronto, Canada, 4-7 May 2014. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2014, p. 1-6, article no, 6900976en_US
dc.identifier.isbn9781479930999-
dc.identifier.issn0840-7789-
dc.identifier.urihttp://hdl.handle.net/10722/199366-
dc.description.abstractMeasuring the instability is a fundamental issue in control systems. This paper investigates the instability measure defined as the sum of the real parts of the unstable eigenvalues, which has important applications such as stabilization with information constraint. We consider continuous-time linear systems whose coefficients are linear functions of a scalar parameter constrained into an interval. The problem is to determine the largest instability measure for all admissible values of the parameter. Two sufficient and necessary conditions for establishing upper bounds on the sought instability measure are proposed in terms of linear matrix inequality (LMI) feasibility tests. The first condition exploits Lyapunov functions, while the second condition is based on the determinants of some specific matrices. Some numerical examples are used to compare the proposed conditions.-
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225-
dc.relation.ispartofIEEE Canadian Conference on Electrical and Computer Engineering Proceedingsen_US
dc.rightsIEEE Canadian Conference on Electrical and Computer Engineering Proceedings. Copyright © IEEE.-
dc.rights©2014 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.titleLMI-Based Computation of the Instability Measure of Continuous-Time Linear Systems with a Scalar Parameteren_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CCECE.2014.6900976-
dc.identifier.scopuseid_2-s2.0-84908440020-
dc.identifier.hkuros230396en_US
dc.identifier.spage1en_US
dc.identifier.epage6en_US
dc.publisher.placeUnited States-

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