Abstract
This paper discusses a new method for computing the spectrum of retarded time-delay systems based on the lifting technique. Stimulated by a recent study that applied (conventional) fast-sample/fast-hold (FSFH) approximation, we consider applying modified FSFH approximation, developed in the fast-lifting approach to sampled-data systems. We show that this leads to an asymptotically exact method in a quite straightforward fashion. The effectiveness of the method is demonstrated with numerical examples.
| Original language | English |
|---|---|
| Title of host publication | 2009 European Control Conference, ECC 2009 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 3575-3580 |
| Number of pages | 6 |
| ISBN (Print) | 9783952417393 |
| Publication status | Published - Mar 26 2014 |
| Externally published | Yes |
| Event | 2009 10th European Control Conference, ECC 2009 - Budapest, Hungary Duration: Aug 23 2009 → Aug 26 2009 |
Other
| Other | 2009 10th European Control Conference, ECC 2009 |
|---|---|
| Country | Hungary |
| City | Budapest |
| Period | 8/23/09 → 8/26/09 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Fast-lifting approach to the computation of the spectrum of retarded time-delay systems. / Hagiwara, Tomomichi; Hirata, Kentaro.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3575-3580 7074954.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Fast-lifting approach to the computation of the spectrum of retarded time-delay systems
AU - Hagiwara, Tomomichi
AU - Hirata, Kentaro
PY - 2014/3/26
Y1 - 2014/3/26
N2 - This paper discusses a new method for computing the spectrum of retarded time-delay systems based on the lifting technique. Stimulated by a recent study that applied (conventional) fast-sample/fast-hold (FSFH) approximation, we consider applying modified FSFH approximation, developed in the fast-lifting approach to sampled-data systems. We show that this leads to an asymptotically exact method in a quite straightforward fashion. The effectiveness of the method is demonstrated with numerical examples.
AB - This paper discusses a new method for computing the spectrum of retarded time-delay systems based on the lifting technique. Stimulated by a recent study that applied (conventional) fast-sample/fast-hold (FSFH) approximation, we consider applying modified FSFH approximation, developed in the fast-lifting approach to sampled-data systems. We show that this leads to an asymptotically exact method in a quite straightforward fashion. The effectiveness of the method is demonstrated with numerical examples.
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UR - http://www.scopus.com/inward/citedby.url?scp=84955216352&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9783952417393
SP - 3575
EP - 3580
BT - 2009 European Control Conference, ECC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
ER -