Stability windows and unstable root-loci for linear fractional time-delay systems

  title={Stability windows and unstable root-loci for linear fractional time-delay systems},
  author={Andr{\'e} Ricardo Fioravanti and Catherine Bonnet and Hitay {\"O}zbay and Silviu-Iulian Niculescu},
The main point of this paper is on the formulation of a numerical algorithm to find the location of all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear fractional-order neutral systems with multiple commensurate delays. We start by the asymptotic position of the chains of poles and conditions for their stability, for a small delay. When these conditions are met, we continue by means of the root continuity argument, and using… CONTINUE READING
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A numerical method to find stability windows and unstable poles for linear neutral time-delay systems

  • A. R. Fioravanti, C. Bonnet, H Özbay, S.-I. Niculescu
  • In Proceedings of the 9th IFAC Workshop on Time…
  • 2010
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