Section: New Results
Stability analysis of fractional and classical neutral systems with commensurate delays
Fractional and classical neutral systems with commensurate delays have
chains of poles asymptotic to vertical lines (see [66]
for classical systems). The delicate case where system have some
chains of poles asymptotic to the imaginary axis is interesting as the
absence of poles in the open left half-plane does not guarantee the
Stability analysis of classical or fractional neutral systems with
one single chain of poles asymptotic to the imaginary axis has been investigated
in [88] ,
[70] ,
[2] ,
[69] ,
where the asymptotic location of poles of neutral
chains was given and necessary and sufficient conditions for
We have performed a full analysis of classical and fractional systems with multiple chains of poles approaching a set of points on the imaginary axis. Moreover, a unified method to analyze the stability of fractional and classical systems has been derived.