Title The use of the Lambert function method for analysis of a control system with delays
Another Title Valdymo sistemų su vėlavimais tyrimas taikant Lamberto funkcijų metodą.
Authors Ivanovienė, Irma ; Rimas, Jonas
DOI 10.5755/j01.itc.42.4.2484
Full Text Download
Is Part of Informacinės technologijos ir valdymas = Information technology and control.. Kaunas : KTU. 2013, t. 42, Nr. 4, p. 325-332.. ISSN 1392-124X. eISSN 2335-884X
Keywords [eng] synchronization system ; differential equations ; delayed argument ; Lambert function
Abstract [eng] The mathematical model of the mutual synchronization system with complete graph structure, composed of n (n ∈N) oscillators, is investigated. This mathematical model is defined by the matrix differential equation with delayed argument. The solution of the matrix differential equation with delayed argument is obtained by applying the Lambert W function method. On the base of this solution, the step responses matrix of the synchronization system is defined and the transients in the system are investigated. The results of calculations, received by the Lambert function method, the dde23 method in Matlab and the exact method of consequent integration, are compared.
Published Kaunas : KTU
Type Journal article
Language English
Publication date 2013
CC license CC license description