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undergraduate thesis
Matematički tretman stabilnosti sustava
Rijeka: University of Rijeka, Faculty of Engineering, 2023. urn:nbn:hr:190:594509
Mikša, Leonard
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

Mikša, L. (2023). Matematički tretman stabilnosti sustava (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:594509

Mikša, Leonard. "Matematički tretman stabilnosti sustava." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2023. https://urn.nsk.hr/urn:nbn:hr:190:594509

Mikša, Leonard. "Matematički tretman stabilnosti sustava." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2023. https://urn.nsk.hr/urn:nbn:hr:190:594509

Mikša, L. (2023). 'Matematički tretman stabilnosti sustava', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 16 January 2025, https://urn.nsk.hr/urn:nbn:hr:190:594509

Mikša L. Matematički tretman stabilnosti sustava [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2023 [cited 2025 January 16] Available at: https://urn.nsk.hr/urn:nbn:hr:190:594509

L. Mikša, "Matematički tretman stabilnosti sustava", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:190:594509

Metadata
TitleMatematički tretman stabilnosti sustava
Title (english)Mathematical treatment of system stability
AuthorLeonard Mikša
MentorIvan Dražić (mentor)
MentorAngela Bašić-Šiško (komentor)
Committee memberDubravko Franković (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
Committee memberAngela Bašić-Šiško (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2023-07-12, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Automation and Robotics
Abstract
U ovom radu pokazano je na koji način se analizira, te fizikalno i matematički interpretira stabilnost sustava, kao temeljno i ključno svojstvo svakog fizički realiziranog sustava. Definirana je prijenosna funkcija sustava kao omjer ulaznog i izlaznog signala u Laplaceovoj s-domeni, te na temelju nje analizirana stabilnost sustava, odnosno odzivi sustava na odgovarajuće pobude. Pokazano je da položaj polova prijenosne funkcije u potpunosti određuje stabilnost sustava. Nakon detaljnog matematičkog uvoda i definiranja stabilnosti, na primjerima iz prakse pokazan je i njen fizikalni značaj.
Abstract (english)
In this paper, it is shown how to analyze and physically and mathematically interpret the stability of the system, as a fundamental and key property of every physically realized system. The transfer function of the system is defined as the ratio of the input and output signal in Laplace's s-domain, and based on it, the stability of the system is analyzed, i.e., the responses of the system to appropriate inputs. It is shown that the position of the poles of the transfer function completely determines the stability of the system. After a detailed mathematical introduction and definition of stability, its physical significance is also shown on practical examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:594509
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 conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2023-07-13 12:31:02