Fast-lifting approach to the computation of the spectrum of retarded time-delay systems

Tomomichi Hagiwara; Kentaro Hirata

Fast-lifting approach to the computation of the spectrum of retarded time-delay systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

@inproceedings{b6052e2f5c19454192965700e7fb8190,

title = "Fast-lifting approach to the computation of the spectrum of retarded time-delay systems",

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.",

author = "Tomomichi Hagiwara and Kentaro Hirata",

year = "2014",

month = mar,

day = "26",

language = "English",

isbn = "9783952417393",

pages = "3575--3580",

booktitle = "2009 European Control Conference, ECC 2009",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2009 10th European Control Conference, ECC 2009 ; Conference date: 23-08-2009 Through 26-08-2009",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=84955216352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955216352&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84955216352

SN - 9783952417393

SP - 3575

EP - 3580

BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2009 10th European Control Conference, ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

Fast-lifting approach to the computation of the spectrum of retarded time-delay systems

Abstract

Other

ASJC Scopus subject areas

Other files and links

Cite this