Show simple item record

dc.contributor.authorGuiver, Chris
dc.contributor.authorOpmeer, Mark R.
dc.date.accessioned2014-01-13T17:13:18Z
dc.date.issued2013
dc.description.abstractBounded real balanced truncation for infinite-dimensional systems is considered. This provides reduced order finite-dimensional systems that retain bounded realness. We obtain an error bound analogous to the finite-dimensional case in terms of the bounded real singular values. By using the Cayley transform a gap metric error bound for positive real balanced truncation is subsequently obtained. For a class of systems with an analytic semigroup, we show rapid decay of the bounded real and positive real singular values. Together with the established error bounds, this proves rapid convergence of the bounded real and positive real balanced truncations.en_GB
dc.identifier.citationVol. 3 (1), pp. 83 - 119en_GB
dc.identifier.doi10.3934/mcrf.2013.3.83
dc.identifier.urihttp://hdl.handle.net/10871/14392
dc.language.isoenen_GB
dc.publisherAmerican Institute of Mathematical Sciencesen_GB
dc.relation.urlhttp://dx.doi.org/10.3934/mcrf.2013.3.83en_GB
dc.rights.embargoreasonPublisher policyen_GB
dc.subjectModel reductionen_GB
dc.subjectbalanced truncationen_GB
dc.subjectinfinite-dimensional systemen_GB
dc.subjectwell-posed linear systemen_GB
dc.subjectbounded realen_GB
dc.subjectpositive realen_GB
dc.titleBounded real and positive real balanced truncation for infinite-dimensional systemsen_GB
dc.typeArticleen_GB
dc.date.available2014-02-01T04:00:12Z
dc.identifier.issn2156-8472
dc.descriptionThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Control and Related Fields (MCRF) following peer review. The definitive publisher-authenticated version (Volume 3 Issue 1, pp. 83 - 119)is available online at: http://dx.doi.org/10.3934/mcrf.2013.3.83en_GB
dc.descriptionCopyright © 2013 American Institute of Mathematical Sciencesen_GB
dc.identifier.eissn2156-8499
dc.identifier.journalMathematical Control and Related Fields (MCRF)en_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record