Abstract
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 in [6, 8] and several examples are given.
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Avanessoff, D., Fioravanti, A.R., Bonnet, C., Nguyen, L.H.V. (2014). H ∞ -Stability Analysis of (Fractional) Delay Systems of Retarded and Neutral Type with the Matlab Toolbox YALTA. In: Vyhlídal, T., Lafay, JF., Sipahi, R. (eds) Delay Systems. Advances in Delays and Dynamics, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-01695-5_21
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DOI: https://doi.org/10.1007/978-3-319-01695-5_21
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