Identification aspects of Ritt's algorithm for discrete-time systems [Elektronisk resurs] /Christian Lyzell, Torkel Glad, Martin Enqvist, Lennart Ljung.
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Publicerad:Linköping :Publicerad:Department of Electrical Engineering, Linköpings universitet,Publicerad:2009
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9 s.
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Text
Nummerbeteckningar
Kompletterande språkuppgifter
Serie
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LiTH-ISY-R,1400-3902 ;2891
Anmärkningar
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In system identification, the challenge of parameter estimation often lies in solving a non-convex optimization problem. In many cases, this implies that it is difficult to guarantee that the global optimum will be found. The tools of differential algebra, for example, Gr\"{o}bner bases and Ritt's algorithm, have turned out to be quite useful when dealing with certain nonlinear model structures. Some examples of successful applications are the determination of controllability, observability and global identifiability of these model structures. In this paper, difference algebraic techniques, which mimics the differential algebraic methods, will be presented. Besides making it possible to handle discrete-time systems, this opens up the possibility of dealing with noise. It turns out that the classical instrumental variables method plays a role.
Ämnesord och genrebeteckningar
Biuppslag (personer, institutioner, konferenser, titlar ...)
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Lyzell, Christian,1980-(författare)
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Glad, Torkel,1947-(författare)
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Enqvist, Martin,1976-(författare)
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Ljung, Lennart,1946-(författare)
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Linköpings universitet.Institutionen för systemteknik
(utgivare)
Seriebiuppslag
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LiTH-ISY-R,1400-3902 ;2891
Internetlänk
Länkade data-URI:er (test)
- https://libris.kb.se/nl038fc652s7qs7#it (Lyzell, Christian, 1980-)
- https://libris.kb.se/53hkfr2p5n6nw98#it (Glad, Torkel, 1947-)
- https://libris.kb.se/mkz13kq51s7g54n#it (Enqvist, Martin, 1976-)
- https://libris.kb.se/97mqxh2t3qsd62h#it (Ljung, Lennart, 1946-)
- https://libris.kb.se/rp358tm95d99njg#it (Linköpings universitet. Institutionen för systemteknik pbl)
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