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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Tarpusavio sinchronizacijos sistemos matematinio modelio sudarymas ir tyrimas / Creation and investigation of the mathematical model of mutual synchronization system

Baumila, Laurynas 06 June 2006 (has links)
The mutual synchronization system composed of four oscillators is analysed in the work. The matrix differential equation with delayed arguments is the mathematical model of the synchronization system. The solution of the matrix differential equation is obtained applying the method of “steps” and Laplace transform. The solution involves the powers of the matrix describing the structure of internal links of the synchronization system. The powers of this matrix are calculated taking into account the eigenvalues and eigenvectors of the matrix. Applying solution of the matrix differential equation the step responses matrix of the system is obtained and transient responses are analysed. The dependence of the phase differences of the oscillators on initial conditions is analysed.
2

Valdymo sistemos su vėlavimais analizinis tyrimas / Analytical analysis of control systems with delay

Pliskauskaitė, Birutė 01 September 2011 (has links)
Darbe nagrinėjama ryšio tinklo sinchronizacijos sistema, sudaryta iš keturių tarpusavyje sinchronizuotų generatorių. Darbo tikslas - sudaryti sinchronizacijos sistemos matematinį modelį, rasti sistemos pereinamųjų funkcijų ir generatorių virpesių fazių skirtumų tikslias analizines išraiškas, ištirti sistemos pereinamuosius procesus ir jos darbą nusistovėjusiame režime. Nagrinėjamos sistemos matematinis modelis - matricinė diferencialinė lygtis su vėluojančiu argumentu. Ši lygtis sprendžiama „žingsnių“ metodu. Tuo tikslu intervalas dalijamas į vienodo ilgio dalinius intervalus. Kiekviename daliniame intervale lygtis sprendžiama atskirai, kaip paprasta matricinė diferencialinė lygtis be vėluojančio argumento. Naudojantis gautu sprendiniu, rastos tikslios sinchronizacijos sistemos pereinamųjų funkcijų analizinės išraiškos. Remiantis šiomis išraiškomis, atliktas pereinamųjų procesų sinchronizacijos sistemoje tyrimas. / The mutual synchronization system of the communication network, composed of four oscillators, is investigated in the work. Following aims were raised in this work: to compose the mathematical model of the synchronization system, to find the exact expressions of the step responses of the system and of the phase differences of the oscillations of oscillators, to investigate the transients in the synchronization system. The mathematical model of the system is the matrix differential equation with delayed argument. This equation is solved applying the method of consequent integration (method of “steps”). For this purpose the interval is divided to subintervals of equal length. The equation in each subinterval is solved separately, as ordinary differential equation without delayed argument. Using obtained expression of the solution, the expressions of step responses of the system are got. The expressions of step responses are applied investigating the transients in the synchronization system.

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