| Title |
A note on the use of step responses matrix and Lambert W function in the dynamics analysis of time delay systems |
| Authors |
Jankauskienė, Irma ; Rimas, Jonas |
| DOI |
10.5755/j01.itc.46.2.16208 |
| Full Text |
|
| Is Part of |
Information technology and control = Informacinės technologijos ir valdymas.. Kaunas : KTU. 2017, vol. 46, no. 2, p. 228-234.. ISSN 1392-124X. eISSN 2335-884X |
| Keywords [eng] |
differential equations ; delayed arguments ; Lambert W function |
| Abstract [eng] |
For investigation of the dynamics of linear time-delay system it is proposed to use the step responses matrix of the system and apply the Lambert W function method. The elements of this matrix in the first stage are being found on the interval (0 \tau) (here \tau is a fixed delay). For this it is sufficient to solve an ordinary matrix differential equation. After that, using obtained solution as initial vector-function, elements of the step responses matrix are being found on the interval (\tau +\infty) solving a linear homogeneous matrix delay differential equation. The well known Lambert W function method can be used for solution of this equation. The proposed method is illustrated on concrete time-delay systems.DOI: http://dx.doi.org/10.5755/j01.itc.46.2.16208. |
| Published |
Kaunas : KTU |
| Type |
Journal article |
| Language |
English |
| Publication date |
2017 |
| CC license |
|
