On the Weierstrass preparation theorem with applications to the asymptotic analysis of characteristics roots of time-delay systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 251-256 |
| Journal / Publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Volume | 48 |
| Issue number | 12 |
| Publication status | Published - 1 Jul 2015 |
Conference
| Title | 12th IFAC Workshop on Time Delay Systems, TDS 2015 |
|---|---|
| Place | United States |
| City | Ann Arbor |
| Period | 28 - 30 June 2015 |
Link(s)
Abstract
This paper proposes an algorithmic approach to construct the Weierstrass Polynomial associated to the multiple characteristic roots of a time-delay system. Such a Weierstrass polynomial is employed as a tool to analize the stability behaviour of the characteristic roots with respect to small variations on the delay parameter. The proposed results are illustrated by considering several numerical examples encountered in the control literature.
Research Area(s)
- Crossing directions, Newton-diagram, Puiseux series, Weierstrass Polynomial
Citation Format(s)
On the Weierstrass preparation theorem with applications to the asymptotic analysis of characteristics roots of time-delay systems. / Barrios, M. F.; Niculescu, S. I.; Chen, J. et al.
In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 48, No. 12, 01.07.2015, p. 251-256.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
