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

Baran Alikoç, Ali Fuat Ergenç

Research output: Contribution to journalConference articlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)386-391
Number of pages6
Issue number12
Publication statusPublished - 1 Jul 2015
Event12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States
Duration: 28 Jun 201530 Jun 2015

Bibliographical note

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


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


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