TY - JOUR
N2 - It is shown how a stability test, alternative to the classical Routh test, can profitably be applied to check the presence of polynomial roots inside half-planes or even sectors of the complex plane. This result is obtained by exploiting the peculiar symmetries of the root locus in which the basic recursion of the test can be embedded. As is expected, the suggested approach proves useful for testing the stability of fractional-order systems. A pair of examples show how the method operates. It is believed that the suggested geometric approach can also be of some didactic value in introducing basic control-system tools to engineering students.
L1 - http://journals.pan.pl/Content/119513/art07.pdf
L2 - http://journals.pan.pl/Content/119513
PY - 2021
IS - No 1
EP - 163
DO - 10.24425/acs.2021.136884
KW - fractional-order systems
KW - D-stability
KW - recursive algorithms
KW - complex polynomials
KW - root locus
KW - symmetries
KW - control-theory didactics
A1 - Casagrande, Daniele
A1 - Krajewski, WiesÅ‚aw
A1 - Viaro, Umberto
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 31
DA - 2021.03.30
T1 - The Lepschy stability test and its application to fractional-order systems
SP - 145
UR - http://journals.pan.pl/dlibra/publication/edition/119513
T2 - Archives of Control Sciences
ER -