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Article: Stabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization

TitleStabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization
Authors
Chen, MZZhang, LSu, HChen, G
KeywordsInput saturation
Parameter dependence
Riccati equation / inequality
Stabilizing solution
Synchronization
Issue Date2016
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9
Citation
IEEE Transactions on Automatic Control, 2016, v. 61 n. 1, p. 228-233 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2015.2434011
AbstractThis technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation.
Persistent Identifierhttp://hdl.handle.net/10722/217093
ISSN
0018-9286
2021 Impact Factor: 6.549
2020 SCImago Journal Rankings: 3.436
ISI Accession Number ID
WOS:000367285200023

 

DC FieldValueLanguage
dc.contributor.authorChen, MZ-
dc.contributor.authorZhang, L-
dc.contributor.authorSu, H-
dc.contributor.authorChen, G-
dc.date.accessioned2015-09-18T05:47:57Z-
dc.date.available2015-09-18T05:47:57Z-
dc.date.issued2016-
dc.identifier.citationIEEE Transactions on Automatic Control, 2016, v. 61 n. 1, p. 228-233-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/10722/217093-
dc.description.abstractThis technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9-
dc.relation.ispartofIEEE Transactions on Automatic Control-
dc.rightsIEEE Transactions on Automatic Control. Copyright © Institute of Electrical and Electronics Engineers.-
dc.subjectInput saturation-
dc.subjectParameter dependence-
dc.subjectRiccati equation / inequality-
dc.subjectStabilizing solution-
dc.subjectSynchronization-
dc.titleStabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization-
dc.typeArticle-
dc.identifier.emailChen, MZ: mzqchen@hku.hk-
dc.identifier.authorityChen, MZ=rp01317-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/TAC.2015.2434011-
dc.identifier.scopuseid_2-s2.0-84961762817-
dc.identifier.hkuros250960-
dc.identifier.volume61-
dc.identifier.issue1-
dc.identifier.spage228-
dc.identifier.epage233-
dc.identifier.isiWOS:000367285200023-
dc.publisher.placeUnited States-
dc.identifier.issnl0018-9286-

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