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      • Department of Electrical and Electronics Engineering
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      On feedback stabilization of neutral time delay systems with infinitely many unstable poles

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      Author(s)
      Gumussoy, S.
      Özbay, Hitay
      Date
      2018
      Source Title
      IFAC-PapersOnLine
      Print ISSN
      2405-8963
      Publisher
      Elsevier B.V.
      Volume
      51
      Issue
      14
      Pages
      118 - 123
      Language
      English
      Type
      Article
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      203
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      Abstract
      It is shown that strictly proper neutral time delay systems having at least one asymptotic pole chain converging to a vertical line Re(s) = σ > 0 cannot be stabilized by a proper controller. A special coprime factorization can be obtained for such systems with infinitely many unstable poles, provided they are bi-proper (i.e. proper, but not strictly proper). From this factorization, stabilizing feedback controllers are obtained. Necessarily, all stabilizing controllers for this type of plants are also bi-proper.
      Keywords
      Coprime factorization
      Factorization methods
      Feedback stabilization
      Time delay
      Unstable systems
      Permalink
      http://hdl.handle.net/11693/49882
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.ifacol.2018.07.209
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      • Department of Electrical and Electronics Engineering 4011
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