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DC Field | Value | Language |
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dc.contributor.author | Li, P | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Wang, Z | - |
dc.contributor.author | Date, P | - |
dc.date.accessioned | 2011-12-12T09:38:44Z | - |
dc.date.available | 2011-12-12T09:38:44Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | AutomaticaIterative algorithm, 47(7): 1504 - 1511, Jul 2011 | en_US |
dc.identifier.issn | 0005-1098 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0005109811001336 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/6065 | - |
dc.description | This is the post-print version of the Article - Copyright @ 2011 Elevier | en_US |
dc.description.abstract | This 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.sponsorship | The work was partially supported by GRF HKU 7137/09E. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | H∞ performance | en_US |
dc.subject | Iterative algorithm | en_US |
dc.subject | Linear matrix inequality | en_US |
dc.subject | Model reduction | en_US |
dc.subject | Positive systems | en_US |
dc.title | Positivity-preserving H∞ model reduction for positive systems | en_US |
dc.type | Research Paper | en_US |
dc.identifier.doi | http://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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