yaltapy 1.0.0

Python module for the study analysis of (fractional) delayed systems given by their transfer function.

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 (N_n, D_n) in H_∞-norm