N2 - AbstractThe stability of fractional standard and positive continuous-time linear systems with state matrices in integer and rational powers is addressed. It is shown that the fractional systems are asymptotically stable if and only if the eigenvalues of the state matrices satisfy some conditions imposed on the phases of the eigenvalues. The fractional standard systems are unstable if the state matrices have at least one positive eigenvalue.
JO - Bulletin of the Polish Academy of Sciences: Technical Sciences
L1 - http://rhis.czasopisma.pan.pl/Content/105722/PDF/10.1515bpasts-2017-0034.pdf
L2 - http://rhis.czasopisma.pan.pl/Content/105722
IS - No 3
EP - 311
KW - General Engineering
KW - Computer Networks and Communications
KW - Atomic and Molecular Physics, and Optics
KW - Artificial Intelligence
KW - Information Systems
ER -
VL - 65
JF - Bulletin of the Polish Academy of Sciences: Technical Sciences
SP - 305
T1 - Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers
UR - http://rhis.czasopisma.pan.pl/dlibra/docmetadata?id=105722