A Residue Based Evaluation of Pole Significance in Time Delay Systems

摘要

The asymptotic chains as typical feature of eigenvalue spectrum of retarded time-delay system are investigated by means of expanding the system response into a residue based partial fraction series. A novel method of rating the significance of the system eigenvalues is presented based on evaluating the residues of the principal terms of the system transfer function. A finite sum of the series of partial fraction expansion is proposed.