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YALTAPy is a Python toolbox dedicated to the stability analysis of (possibly fractional) delay systems with commensurate delays given by their transfer function.

The questions YALTA and YALTAPy can answer are:

  • In the case of neutral systems
    • Find the position of asymptotic axes.
    • If the imaginary axis is asymptotic axis, find if the asymptotic poles of the chain are left or right the imaginary axis.
  • In the case of retarded systems or of neutral systems with asymptotic axes in {Re(s) < 0}, find:
    • For a given delay, the number and the position of unstable poles.
    • For which values of the delay the system is stable.
    • For a set of values of the delay, the position of unstable poles (root locus).
    • Find (for non fractional systems) the coprime factors (N, D) of the transfer function as well as an approximation (Nn, Dn) in H∞-norm

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