DC Field | Value | Language |
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dc.contributor.author | Inai, Akira | - |
dc.contributor.author | Hagiwara, Tomomichi | - |
dc.contributor.author | KIM, JUNG HOON | - |
dc.date.accessioned | 2019-06-07T23:10:04Z | - |
dc.date.available | 2019-06-07T23:10:04Z | - |
dc.date.created | 2019-06-07 | - |
dc.date.issued | 2017-07 | - |
dc.identifier.issn | 2405-8963 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/99075 | - |
dc.description.abstract | This paper is concerned with the Hankel operator of sampled-data systems. The Hankel operator is usually defined as a mapping from the past input to the future output and its norm plays an important role in evaluating the performance of systems. Since the continuous-time mapping between the input and output is periodically time-varying (h -periodic, where h denotes the sampling period) in sampled-data systems, it matters when to take the time instant separating the past and the future when we define the Hankel operator for sampled-data systems. This paper takes an arbitrary Θ ϵ [0,h) as such an instant, and considers the quasi L∞/L2 Hankel operator defined as the mapping from the past input in L2(-∞ Θ) to the future output in L∞Θ ∞). The norm of this operator, which we call the quasi L∞/L2 Hankel norm at Θ is then characterized in such a way that its numerical computation becomes possible. Then, regarding the computation of the L∞L2 Hankel norm defined as the supremum of the quasi L∞L2 Hankel norms over Θ ϵ [0,h), some relationship is discussed between the arguments through such characterization and an alternative method developed in an earlier paper that is free from the computations of quasi L∞/L2 Hankel norms. A numerical example is studied to confirm the validity of the arguments in this paper. © 2017 | - |
dc.language | English | - |
dc.publisher | IFAC Secretariat | - |
dc.relation.isPartOf | IFAC-PapersOnLine | - |
dc.title | Characterization of Quasi L∞/L2 Hankel Norms of Sampled-Data Systems | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.ifacol.2017.08.707 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | IFAC-PapersOnLine, v.50, no.1, pp.3623 - 3628 | - |
dc.identifier.wosid | 000423964800101 | - |
dc.citation.endPage | 3628 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 3623 | - |
dc.citation.title | IFAC-PapersOnLine | - |
dc.citation.volume | 50 | - |
dc.contributor.affiliatedAuthor | KIM, JUNG HOON | - |
dc.identifier.scopusid | 2-s2.0-85031817964 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.type.docType | Proceedings Paper | - |
dc.subject.keywordPlus | OPERATOR NORMS | - |
dc.subject.keywordPlus | L-INFINITY | - |
dc.subject.keywordPlus | CONVOLUTION | - |
dc.subject.keywordAuthor | Linear multivariable systems | - |
dc.subject.keywordAuthor | Time-varying systems | - |
dc.subject.keywordAuthor | Disturbance rejection | - |
dc.subject.keywordAuthor | Sampled-data systems | - |
dc.subject.keywordAuthor | Hankel operator | - |
dc.subject.keywordAuthor | H-2 norm | - |
dc.relation.journalWebOfScienceCategory | Automation & Control Systems | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Automation & Control Systems | - |
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