A new delay-independent stability test of LTI systems with single delay

Baran Alikoç; Ali Fuat Ergenç

doi:10.1016/j.ifacol.2015.09.409

A new delay-independent stability test of LTI systems with single delay

Baran Alikoç, Ali Fuat Ergenç

Kontrol ve Otomasyon Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Konferans makalesi › bilirkişi

4 Atıf (Scopus)

Özet

A new method complying necessary and sufficient conditions to test delayindependent stability of the general linear time invariant dynamics with single delay is presented. The method is based on investigating the location of zeros of a auxiliary characteristic equation obtained via Kronecker summation. As well as providing an efficient test in real arithmetics, the exact boundaries of unknown/undetermined parameters such as controller gains or system parameters ensuring delay-independent stability can be determined by the new proposed method.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	386-391
Sayfa sayısı	6
Dergi	IFAC-PapersOnLine
Hacim	28
Basın numarası	12
DOI'lar	https://doi.org/10.1016/j.ifacol.2015.09.409
Yayın durumu	Yayınlandı - 1 Tem 2015
Etkinlik	12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States Süre: 28 Haz 2015 → 30 Haz 2015

Bibliyografik not

Publisher Copyright:
© 2015, IF AG (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Belgeye Erişim

10.1016/j.ifacol.2015.09.409

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{14331f3021a34884b8c6b9e676f154cd,

title = "A new delay-independent stability test of LTI systems with single delay",

abstract = "A new method complying necessary and sufficient conditions to test delayindependent stability of the general linear time invariant dynamics with single delay is presented. The method is based on investigating the location of zeros of a auxiliary characteristic equation obtained via Kronecker summation. As well as providing an efficient test in real arithmetics, the exact boundaries of unknown/undetermined parameters such as controller gains or system parameters ensuring delay-independent stability can be determined by the new proposed method.",

keywords = "Bistritz tabulation, Delay-independent stability, Delay-independent stabilizing controller, Kronecker summation, Self-inversive polynomials, Time-delay systems",

author = "Baran Aliko{\c c} and Ergen{\c c}, {Ali Fuat}",

note = "Publisher Copyright: {\textcopyright} 2015, IF AG (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.; 12th IFAC Workshop on Time Delay Systems, TDS 2015 ; Conference date: 28-06-2015 Through 30-06-2015",

year = "2015",

month = jul,

day = "1",

doi = "10.1016/j.ifacol.2015.09.409",

language = "English",

volume = "28",

pages = "386--391",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

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TY - JOUR

T1 - A new delay-independent stability test of LTI systems with single delay

AU - Alikoç, Baran

AU - Ergenç, Ali Fuat

PY - 2015/7/1

Y1 - 2015/7/1

N2 - A new method complying necessary and sufficient conditions to test delayindependent stability of the general linear time invariant dynamics with single delay is presented. The method is based on investigating the location of zeros of a auxiliary characteristic equation obtained via Kronecker summation. As well as providing an efficient test in real arithmetics, the exact boundaries of unknown/undetermined parameters such as controller gains or system parameters ensuring delay-independent stability can be determined by the new proposed method.

AB - A new method complying necessary and sufficient conditions to test delayindependent stability of the general linear time invariant dynamics with single delay is presented. The method is based on investigating the location of zeros of a auxiliary characteristic equation obtained via Kronecker summation. As well as providing an efficient test in real arithmetics, the exact boundaries of unknown/undetermined parameters such as controller gains or system parameters ensuring delay-independent stability can be determined by the new proposed method.

KW - Bistritz tabulation

KW - Delay-independent stability

KW - Delay-independent stabilizing controller

KW - Kronecker summation

KW - Self-inversive polynomials

KW - Time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=84954179020&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.409

DO - 10.1016/j.ifacol.2015.09.409

M3 - Conference article

AN - SCOPUS:84954179020

SN - 2405-8963

VL - 28

SP - 386

EP - 391

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 12

T2 - 12th IFAC Workshop on Time Delay Systems, TDS 2015

Y2 - 28 June 2015 through 30 June 2015

ER -

A new delay-independent stability test of LTI systems with single delay

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap