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master's thesis
Redukcija dimenzije parametarski ovisnih nelinearnih sustava
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:155923
Manojlović, Iva
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Manojlović, I. (2018). Redukcija dimenzije parametarski ovisnih nelinearnih sustava (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:155923

Manojlović, Iva. "Redukcija dimenzije parametarski ovisnih nelinearnih sustava." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:155923

Manojlović, Iva. "Redukcija dimenzije parametarski ovisnih nelinearnih sustava." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:155923

Manojlović, I. (2018). 'Redukcija dimenzije parametarski ovisnih nelinearnih sustava', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:155923

Manojlović I. Redukcija dimenzije parametarski ovisnih nelinearnih sustava [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 December 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:155923

I. Manojlović, "Redukcija dimenzije parametarski ovisnih nelinearnih sustava", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:155923

Metadata
TitleRedukcija dimenzije parametarski ovisnih nelinearnih sustava
AuthorIva Manojlović
MentorZlatko Drmač (mentor)
Committee memberZlatko Drmač (predsjednik povjerenstva)
Committee memberEduard Marušić-Paloka (član povjerenstva)
Committee memberMladen Vuković (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U današnje vrijeme mjerenja stanja nekog sustava od interesa su sve opširnija i sve točnija. Za opisivanje sustava koji ovise o različitim parametrima zato je sve popularniji pristup koji se upravo temelji na modeliranju ponašanja sustava pomoću već prikupljenih podataka. POD i DEIM pokazale su se kao dobre metode za redukciju dimenzionalnosti dinamičkih sustava i sustava nelinearnih jednadžbi. Pomoću reduciranih modela lako možemo opisati sustav za parametre za koje nismo napravili mjerenje. Pomoću DMDa i njegovih varijanti možemo opisati ponašanje sustava kao lokalno linearnog dinamičkog sustava, što nam omogućava procjenu budućih stanja temeljenoj samo na izmjerenim podacima, a ne na rješavanju sustava. U ovom radu opisani su navedeni algoritmi s primjenama na odabranim primjerima.
Abstract (english)
Nowadays measuring states of a system we are interested in can be done more accurately and in more detail than ever before. That's why there are different approaches which use collected data for describing systems which depend on different parameters. POD and DEIM proved to be good methods for reducing dimension of dynamical systems and systems of nonlinear equations. With reduced model we can easily describe system for parameters for which we don't have measured data or numerical solution. With DMD and its versions we can describe behaviour of system like a locally linear dynamical system, which provides an estimate of future state, which depend only on measured data and not on solving the system for that time. In this work, such algorithm were described with applications on selected examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:155923
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-06-05 11:34:49