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

Tomomichi Hagiwara, Kentaro Hirata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3575-3580
Number of pages6
ISBN (Print)9783952417393
Publication statusPublished - Mar 26 2014
Externally publishedYes
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: Aug 23 2009Aug 26 2009

Other

Other2009 10th European Control Conference, ECC 2009
CountryHungary
CityBudapest
Period8/23/098/26/09

Fingerprint

Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Hagiwara, T., & Hirata, K. (2014). Fast-lifting approach to the computation of the spectrum of retarded time-delay systems. In 2009 European Control Conference, ECC 2009 (pp. 3575-3580). [7074954] Institute of Electrical and Electronics Engineers Inc..

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 proceedingConference contribution

Hagiwara, T & Hirata, K 2014, Fast-lifting approach to the computation of the spectrum of retarded time-delay systems. in 2009 European Control Conference, ECC 2009., 7074954, Institute of Electrical and Electronics Engineers Inc., pp. 3575-3580, 2009 10th European Control Conference, ECC 2009, Budapest, Hungary, 8/23/09.
Hagiwara T, Hirata K. Fast-lifting approach to the computation of the spectrum of retarded time-delay systems. In 2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc. 2014. p. 3575-3580. 7074954
Hagiwara, Tomomichi ; Hirata, Kentaro. / Fast-lifting approach to the computation of the spectrum of retarded time-delay systems. 2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 3575-3580
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