Fioravanti, A.R.Bonnet, C.Özbay, HitayNiculescu, S.-I.2016-02-082016-02-0820111474-6670http://hdl.handle.net/11693/28276Conference name: Proceedings of the 18th World Congress The International Federation of Automatic ControDate of Conference: August 28 - September 2, 2011The 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 a simple substitution, we can find all the locations where roots cross the imaginary axis. We can extend the method to provide the location of all unstable poles as a function of the delay. Before concluding, some examples are presented. © 2011 IFAC.EnglishDelay effectsFractional systemsNeutral systemsRoot-locusAsymptotic positionCommensurate delaysDelay effectsFractional systemsImaginary axisNeutral systemsNumerical algorithmsSimple substitutionTime-delay systemsAlgorithmsDelay control systemsRoot lociPolesConference Paper10.3182/20110828-6-IT-1002.03086