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master's thesis
Identifikacija dinamičkih sustava metodom najmanjih kvadrata
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:043356
Komar, Kristina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Komar, K. (2016). Identifikacija dinamičkih sustava metodom najmanjih kvadrata (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:043356

Komar, Kristina. "Identifikacija dinamičkih sustava metodom najmanjih kvadrata." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:043356

Komar, Kristina. "Identifikacija dinamičkih sustava metodom najmanjih kvadrata." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:043356

Komar, K. (2016). 'Identifikacija dinamičkih sustava metodom najmanjih kvadrata', Master's thesis, University of Zagreb, Faculty of Science, accessed 18 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:043356

Komar K. Identifikacija dinamičkih sustava metodom najmanjih kvadrata [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 May 18] Available at: https://urn.nsk.hr/urn:nbn:hr:217:043356

K. Komar, "Identifikacija dinamičkih sustava metodom najmanjih kvadrata", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:043356

Metadata
TitleIdentifikacija dinamičkih sustava metodom najmanjih kvadrata
AuthorKristina Komar
MentorZlatko Drmač (mentor)
Committee memberZlatko Drmač (predsjednik povjerenstva)
Committee memberVjeran Hari (član povjerenstva)
Committee memberTomislav Pejković (član povjerenstva)
Committee memberDamir Bakić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu, proučavali smo kako modelirati analitički dinamički sustav u frekvencijskoj domeni. To nam je bilo od interesa jer s algebarskim jednadžbama možemo računati na ograničenoj aritmetici računala. Kao pomoćni alat tu nam je poslužila Laplaceova transformacija. Pomoću nje smo dobili funkciju prijelaza koja je od velike važnosti za interpretaciju rezultata početnog sustava diferencijalnih jednadžbi u frekvencijskoj domeni. Definirali smo što je to dinamički sustav, njegova važna svojstva, te vidjeli primjere iz fizikalnog svijeta gdje se dinamički sustav koristi. Na kraju smo opisali iterativnu numeričku metodu vector fitting. Njome aproksimiramo funkciju prijelaza u smislu najmanjih kvadrata. Prikazali smo neke rezultate u programskom paketu MATLAB.
Abstract (english)
In this thesis, we studied how to model analytical dynamical system in frequency domain. That was of our interest because with the algebraic equations we can easily do the computing on a limited computer arithmetic. Laplace transform was helpful auxiliary tool for that purpose. With it, we get the transfer function which is of great importance for the interpretation of the results of initial system of differential equations in frequency domain. We defined what dynamical system is, its important characteristics, and we saw examples from the physical world where dynamical system is used. Finally, we described the iterative numerical method named vector fitting. It approximates transfer function in the least square fit. We show some results in software package MATLAB.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:043356
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 on2019-02-14 11:57:58