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Conference Paper: A tighter reachable set bound for linear systems subject to both discrete and distributed delays

TitleA tighter reachable set bound for linear systems subject to both discrete and distributed delays
Authors
Issue Date2012
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 51st IEEE Annual Conference on Decision and Control (CDC 2012), Maui, HI., 10-13 December 2012. In IEEE Conference on Decision and Control Proceedings, 2012, p. 2569–2573 How to Cite?
AbstractThe problem of reachable set bounding for a class of linear systems subject to both discrete and distributed delays is addressed in this paper. First, a new criterion is derived to give an ellipsoid which bounds all the states starting from the origin by inputs with peak-values. The constraint with a special structure that appeared in our previous result is removed by combining the Jensen integral inequality and the reciprocally convex approach. In addition, the obtained condition brings a tighter reachable set estimation with lower computational complexity. We also extend the above result to systems with polytopic uncertainties. Finally, an example is presented to illustrate the merit of our proposed method. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/218965
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorZuo, ZQ-
dc.contributor.authorFu, YH-
dc.contributor.authorWang, YJ-
dc.contributor.authorLi, CY-
dc.contributor.authorChen, MZ-
dc.date.accessioned2015-09-18T07:02:22Z-
dc.date.available2015-09-18T07:02:22Z-
dc.date.issued2012-
dc.identifier.citationThe 51st IEEE Annual Conference on Decision and Control (CDC 2012), Maui, HI., 10-13 December 2012. In IEEE Conference on Decision and Control Proceedings, 2012, p. 2569–2573-
dc.identifier.isbn978-1-4673-2066-5-
dc.identifier.issn0191-2216-
dc.identifier.urihttp://hdl.handle.net/10722/218965-
dc.description.abstractThe problem of reachable set bounding for a class of linear systems subject to both discrete and distributed delays is addressed in this paper. First, a new criterion is derived to give an ellipsoid which bounds all the states starting from the origin by inputs with peak-values. The constraint with a special structure that appeared in our previous result is removed by combining the Jensen integral inequality and the reciprocally convex approach. In addition, the obtained condition brings a tighter reachable set estimation with lower computational complexity. We also extend the above result to systems with polytopic uncertainties. Finally, an example is presented to illustrate the merit of our proposed method. © 2012 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.rights©2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleA tighter reachable set bound for linear systems subject to both discrete and distributed delays-
dc.typeConference_Paper-
dc.identifier.emailChen, MZ: mzqchen@hku.hk-
dc.identifier.authorityChen, MZ=rp01317-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2012.6426896-
dc.identifier.scopuseid_2-s2.0-84874258265-
dc.identifier.hkuros250970-
dc.identifier.spage2569–2573-
dc.identifier.epage2569–2573-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 151110-

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