Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/6065
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dc.contributor.authorLi, P-
dc.contributor.authorLam, J-
dc.contributor.authorWang, Z-
dc.contributor.authorDate, P-
dc.date.accessioned2011-12-12T09:38:44Z-
dc.date.available2011-12-12T09:38:44Z-
dc.date.issued2011-
dc.identifier.citationAutomaticaIterative algorithm, 47(7): 1504 - 1511, Jul 2011en_US
dc.identifier.issn0005-1098-
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0005109811001336en
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/6065-
dc.descriptionThis is the post-print version of the Article - Copyright @ 2011 Elevieren_US
dc.description.abstractThis paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. Furthermore, iterative LMI approaches with primal and dual forms are developed to solve the positivity-preserving H∞ model reduction problem. Finally, a compartmental network is provided to show the effectiveness of the proposed techniques.en_US
dc.description.sponsorshipThe work was partially supported by GRF HKU 7137/09E.en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectH∞ performanceen_US
dc.subjectIterative algorithmen_US
dc.subjectLinear matrix inequalityen_US
dc.subjectModel reductionen_US
dc.subjectPositive systemsen_US
dc.titlePositivity-preserving H∞ model reduction for positive systemsen_US
dc.typeResearch Paperen_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.automatica.2011.02.032-
pubs.organisational-data/Brunel-
pubs.organisational-data/Brunel/Brunel (Active)-
pubs.organisational-data/Brunel/Brunel (Active)/School of Info. Systems, Comp & Maths-
pubs.organisational-data/Brunel/Brunel Active Staff-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Information Systems, Computing and Mathematics-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Information Systems, Computing and Mathematics/IS and Computing-
pubs.organisational-data/Brunel/Research Centres (RG)-
pubs.organisational-data/Brunel/Research Centres (RG)/CIKM-
pubs.organisational-data/Brunel/School of Information Systems, Computing and Mathematics (RG)-
pubs.organisational-data/Brunel/School of Information Systems, Computing and Mathematics (RG)/CIKM-
Appears in Collections:Publications
Computer Science
Dept of Computer Science Research Papers

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