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http://hdl.handle.net/10773/16656
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DC Field | Value | Language |
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dc.contributor.author | Ortigueira, Manuel D. | pt |
dc.contributor.author | Torres, Delfim F.M. | pt |
dc.contributor.author | Trujillo, Juan J. | pt |
dc.date.accessioned | 2017-01-13T15:17:09Z | - |
dc.date.issued | 2016-10 | - |
dc.identifier.issn | 1007-5704 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/16656 | - |
dc.description.abstract | We formulate a coherent approach to signals and systems theory on time scales. The two derivatives from the time-scale calculus are used, i.e., nabla (forward) and delta (backward), and the corresponding eigenfunctions, the so-called nabla and delta exponentials, computed. With these exponentials, two generalised discrete-time Laplace transforms are deduced and their properties studied. These transforms are compatible with the standard Laplace and Z transforms. They are used to study discrete-time linear systems defined by difference equations. These equations mimic the usual continuous-time equations that are uniformly approximated when the sampling interval becomes small. Impulse response and transfer function notions are introduced. This implies a unified mathematical framework that allows us to approximate the classic continuous-time case when the sampling rate is high or to obtain the standard discrete-time case, based on difference equations, when the time grid becomes uniform. © 2016 Elsevier B.V. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | CIDMA/FCT, UID/MAT/04106/2013 | pt |
dc.relation | PEst–UID/EEA/00066/2013 | pt |
dc.relation | MTM2013-41704-P | pt |
dc.rights | restrictedAccess | por |
dc.subject | Time-scale calculus | pt |
dc.subject | Exponentials | pt |
dc.subject | Generalised Laplace and Z transforms | pt |
dc.subject | Systems theory | pt |
dc.subject | Fractional derivatives | pt |
dc.title | Exponentials and Laplace transforms on nonuniform time scales | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
ua.event.title | Communications in Nonlinear Science and Numerical Simulation | |
degois.publication.firstPage | 252 | pt |
degois.publication.lastPage | 270 | pt |
degois.publication.title | Communications in Nonlinear Science and Numerical Simulation | pt |
degois.publication.volume | 39 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1016/j.cnsns.2016.03.010 | pt |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[343]CNSNS_Ortigueira_Torres_Trujillo.pdf | 597.89 kB | Adobe PDF |
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