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undergraduate thesis
Linearni dinamički sustavi
Rijeka: University of Rijeka, Faculty of Engineering, 2021. urn:nbn:hr:190:766804
Đurović, Ira
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Institutional repository: Repository of the University of Rijeka, Faculty of Engineering

Cite this document

Đurović, I. (2021). Linearni dinamički sustavi (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:766804

Đurović, Ira. "Linearni dinamički sustavi." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:766804

Đurović, Ira. "Linearni dinamički sustavi." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:766804

Đurović, I. (2021). 'Linearni dinamički sustavi', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 16 January 2025, https://urn.nsk.hr/urn:nbn:hr:190:766804

Đurović I. Linearni dinamički sustavi [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2025 January 16] Available at: https://urn.nsk.hr/urn:nbn:hr:190:766804

I. Đurović, "Linearni dinamički sustavi", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:190:766804

Metadata
TitleLinearni dinamički sustavi
Title (english)Linear dynamical systems
AuthorIra Đurović
MentorIvan Dražić (mentor)
MentorViktor Sučić (komentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2021-09-14, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
Linearni dinamički sustavi (LDS) su matematički modeli koji opisuju dinamičke procese. Koristi ih se za analizu, dizajn i simuliranje linearnih sustava te za aproksimacije ponašanja nelinearnih sustava. U radu su opisane neke metode rješavanja linearnih dinamičkih sustava i ono što je potrebno uzeti u obzir pri biranju metode za rješavanje određenog sustava. Metoda najmanjih kvadrata i metoda najmanje norme daju izuzetno dobra rješenja sustava. QR faktorizacija, kvadratna forma i dekompozicija singularnih vrijednosti matrice su metode faktorizacije matrica na matrice takvih oblika na kojima je jednostavnije izvršavati operacije i imaju značajan utjecaj na brzinu rješavanja sustava i interpretaciju sustava kao takvih. Definirane su dvije vrste sustava, autonomni i sustav s ulazima i izlazima, i razmotreni su načini rješavanja te interpretacije svojstava elemenata sustava.
Abstract (english)
Linear dynamical systems (LDS) are mathematical models that describe dynamical processes. They are used for analysis, design and simulations of linear systems and for approximating the behaviour of non-linear dynamical systems. This paper presents some of the methods used in solving linear dynamical systems and what needs to be taken into account when choosing which method to use on a given system. The least-squares and least-norm methods yield remarkable solutions. QR factorization, quadratic form and singular value decomposition are factorization methods for matrices that give matrix forms which are easy to compute with and do operations on and which have a significant effect on the speed of doing the computations and also on interpreting the systems. Two classes of systems are defined, autonomous and systems with inputs and outputs, and various methods for solving them are discussed along with considering the interpretations of the systems’ properties.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:766804
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-10-26 06:14:26