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Time Delay Systems pp 63–76Cite as

A New Delay-Independent Stability Test for LTI Systems with Single Delay

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Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 7))

Abstract

A new method complying necessary and sufficient conditions to test delay-independent stability of the general linear time invariant (LTI) dynamics with single delay is presented. The method is based on investigating the location of zeros of an auxiliary characteristic polynomial obtained via Kronecker summation. The proposed approach enables to determine the exact regions of the unknown parameters, e.g., system and controller parameters, ensuring delay-independent stability.

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Authors and Affiliations

  1. Department of Control and Automation Engineering, Istanbul Technical University, 34469, Istanbul, Maslak, Turkey

    Baran Alikoç & Ali Fuat Ergenç

Authors
  1. Baran Alikoç
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  2. Ali Fuat Ergenç
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Correspondence to Baran Alikoç .

Editor information

Editors and Affiliations

  1. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Tamás Insperger

  2. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Tulga Ersal

  3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Gábor Orosz

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Alikoç, B., Ergenç, A.F. (2017). A New Delay-Independent Stability Test for LTI Systems with Single Delay. In: Insperger, T., Ersal, T., Orosz, G. (eds) Time Delay Systems. Advances in Delays and Dynamics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-53426-8_5

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  • DOI: https://doi.org/10.1007/978-3-319-53426-8_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53425-1

  • Online ISBN: 978-3-319-53426-8

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