dc.contributor.author | Akçay, Hüseyin | |
dc.date.accessioned | 2019-10-21T20:40:56Z | |
dc.date.available | 2019-10-21T20:40:56Z | |
dc.date.issued | 2000 | |
dc.identifier.issn | 1049-8923 | |
dc.identifier.uri | https://dx.doi.org/10.1002/(SICI)1099-1239(200005)10:6<513 | |
dc.identifier.uri | https://hdl.handle.net/11421/20574 | |
dc.description | WOS: 000087175700003 | en_US |
dc.description.abstract | In this paper, model sets for linear time-invariant continuous-time systems which are spanned by fixed-pole orthonormal bases are investigated. The obtained model sets are shown to be complete in the Lebesque spaces L-p (1 < p < infinity) and in C, the space of complex-valued functions that are continuous on the extended imaginary axis. The L-p norm error bounds for estimating systems in L-p by the partial sums of the Fourier series formed by the orthonormal functions are computed for the case 1 < p < infinity. Some inequalities on the l(p) means of the Fourier coefficients are also derived. These results have application in estimation and model reduction of stable and unstable continuous-time linear time-invariant systems. A numerical example illustrates the use of the basis functions for the approximation of unstable infinite-dimensional dynamics. Copyright (C) 2000 John Wiley & Sons, Ltd. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | John Wiley & Sons LTD | en_US |
dc.relation.isversionof | 10.1002/(SICI)1099-1239(200005)10:6<513 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Continuous Time | en_US |
dc.subject | Orthonormal Basis Functions | en_US |
dc.subject | Completeness | en_US |
dc.subject | Fourier Series | en_US |
dc.title | Continuous-time stable and unstable system modelling with orthonormal basis functions | en_US |
dc.type | article | en_US |
dc.relation.journal | International Journal of Robust and Nonlinear Control | en_US |
dc.contributor.department | Anadolu Üniversitesi, Mühendislik Fakültesi, Elektrik ve Elektronik Mühendisliği Bölümü | en_US |
dc.identifier.volume | 10 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.startpage | 513 | en_US |
dc.identifier.endpage | 531 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |
dc.contributor.institutionauthor | Akçay, Hüseyin | |