Kronecker summation method and multiple delay systems

Ali Fuat Ergenc*, Nejat Olgac, Hassan Fazelinia

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde BölümKonferans katkısıbilirkişi

Özet

A new procedure is presented for determining the kernel and the offspring hyperplanes for general LTI dynamics with multiple delays. These hyperplanes, as they are very recently introduced in a concept paper [1], form the basis of the overriding paradigm which is called the "Cluster Treatment of Characteristic Roots (CTCR)". In fact, these two sets of hyperplanes exhaustively represent the locations in the domain of the delays where the system possesses at least one pair of imaginary characteristic roots. To determine these kernel and offspring we use the extraordinary features of "Extended Kronecker Summation" operation in this paper. The end result is that the infinite dimensional problem reduces to a finite dimensional one (and preferably into an eigenvalue problem). Following the procedure described in this paper we are able to shorten the computational time considerably in determining these hyperplanes. We demonstrate these concepts via an example case study which treats a 3-delay system. For this case another perspective, called the "building block", is utilized to display the kernel in 3-D space of the "spectral delays".

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
YayınlayanInstitute of Electrical and Electronics Engineers Inc.
Sayfalar4417-4422
Sayfa sayısı6
ISBN (Basılı)1424401712, 9781424401710
DOI'lar
Yayın durumuYayınlandı - 2006
Harici olarak yayınlandıEvet
Etkinlik45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Süre: 13 Ara 200615 Ara 2006

Yayın serisi

AdıProceedings of the IEEE Conference on Decision and Control
ISSN (Basılı)0743-1546
ISSN (Elektronik)2576-2370

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???event.eventtypes.event.conference???45th IEEE Conference on Decision and Control 2006, CDC
Ülke/BölgeUnited States
ŞehirSan Diego, CA
Periyot13/12/0615/12/06

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