On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization

Kentaro Hirata, Atsushi Itokazu, Tomomichi Hagiwara

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

2 Citations (Scopus)

Abstract

In this paper, numerical computation methods of the spectrum of a class of integral operators related to retarded time-delay systems are developed. The first key idea is to relax the requirement on the causality of the hold operator and the second idea is to employ higher order polynomial interpolations.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages382-389
Number of pages8
Volume8
EditionPART 1
Publication statusPublished - 2009
Externally publishedYes
Event8th IFAC Workshop on Time-Delay Systems, TDS'09 - Sinaia
Duration: Sep 1 2009Sep 3 2009

Other

Other8th IFAC Workshop on Time-Delay Systems, TDS'09
CitySinaia
Period9/1/099/3/09

Fingerprint

Time delay
Interpolation
Polynomials

Keywords

  • Approximation
  • Interpolation
  • Non-casual
  • Time-delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Hirata, K., Itokazu, A., & Hagiwara, T. (2009). On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 8, pp. 382-389)

On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization. / Hirata, Kentaro; Itokazu, Atsushi; Hagiwara, Tomomichi.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 8 PART 1. ed. 2009. p. 382-389.

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

Hirata, K, Itokazu, A & Hagiwara, T 2009, On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 8, pp. 382-389, 8th IFAC Workshop on Time-Delay Systems, TDS'09, Sinaia, 9/1/09.
Hirata K, Itokazu A, Hagiwara T. On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 8. 2009. p. 382-389
Hirata, Kentaro ; Itokazu, Atsushi ; Hagiwara, Tomomichi. / On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 8 PART 1. ed. 2009. pp. 382-389
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