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

Department of Control and Automation Engineering

Istanbul Technical University

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	386-391
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	28
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2015.09.409
Publication status	Published - 1 Jul 2015
Event	12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States Duration: 28 Jun 2015 → 30 Jun 2015

Bibliographical note

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

Keywords

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

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10.1016/j.ifacol.2015.09.409

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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",

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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

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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

Abstract

Bibliographical note

Keywords

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