H ∞ -stability analysis of (fractional) delay systems of retarded and neutral type with the Matlab toolbox YALTA. YALTA is a Matlab toolbox dedicated to the H ∞ -stability analysis of classical and fractional systems with commensurate delays given by their transfer function, whose binary can be downloaded at http://team.inria.fr/disco/software. Delay systems of both retarded and neutral type are considered. The asymptotic position of high modulus poles is given. For a fixed known delay, poles of small modulus of standard delay systems are approximated through a Padé-2 scheme. For a delay varying from zero to a prescribed positive value, stability windows as well as root loci are given. We describe how we have circumvented the numerical issues of algorithms developed, e.g., in A. R. Fioravanti et al [”A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems”, Automatica 48, No. 11, 2824-2830 (2012; Zbl 1252.93058)] and several examples are given.

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