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dc.contributor.authorYuan, Yen
dc.contributor.authorRai, Aen
dc.contributor.authorYeung, Een
dc.contributor.authorStan, GBen
dc.contributor.authorWarnick, Sen
dc.contributor.authorGonçalves, Jen
dc.date.accessioned2017-09-19T15:10:18Z
dc.date.available2017-09-19T15:10:18Z
dc.date.issued2017-06-01en
dc.identifier.issn2325-5870
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/267298
dc.description.abstractThe dynamical structure function of a linear time invariant (LTI) system reveals causal dependencies among manifest variables without specifying any particular relationships among the unmeasured states of the system. As such, it is a useful representation for complex networks where a coarse description of global system structure is desired without detailing the intricacies of a full state realization. In this paper, we consider the problem of finding a minimal state realization for a given dynamical structure function. Interestingly, some dynamical structure functions require uncontrollable modes in their state realizations to deliver the desired input-output behavior while respecting a specified system structure. As a result, the minimal order necessary to realize a particular dynamical structure function may be greater than that necessary to realize its associated transfer function. Although finding a minimal realization for a given dynamical structure function is difficult in general, we present a straightforward procedure here that works for a simplified class of systems.
dc.publisherIEEE
dc.subjectlinear systemsen
dc.subjectminimal realization theoryen
dc.subjectsystems biologyen
dc.titleA Minimal Realization Technique for the Dynamical Structure Function of a Class of LTI Systemsen
dc.typeArticle
prism.endingPage311
prism.issueIdentifier2en
prism.publicationDate2017en
prism.publicationNameIEEE Transactions on Control of Network Systemsen
prism.startingPage301
prism.volume4en
dc.identifier.doi10.17863/CAM.13300
dcterms.dateAccepted2015-09-15en
rioxxterms.versionofrecord10.1109/TCNS.2015.2498468en
rioxxterms.versionAM*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-06-01en
dc.identifier.eissn2372-2533
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/I03210X/1)
cam.issuedOnline2015-11-05en


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