N2 - The concept of inverse systems for standard and positive linear systems
is introduced. Necessary and sufficient conditions for the existence of
the positive inverse system for continuous-time and discrete-time linear
systems are established. It is shown that: 1) The inverse system of
continuous-time linear system is asymptotically stable if and only if the
standard system is asymptotically stable. 2) The inverse system of
discrete-time linear system is asymptotically stable if and only if the
standard system is unstable. 3) The inverse system of continuous-time and
discrete-time linear systems are reachable if and only if the standard
systems are reachable. The considerations are illustrated by numerical
examples.
JO - Archives of Electrical Engineering
L1 - http://rhis.czasopisma.pan.pl/Content/84462/PDF/08_paper.pdf
L2 - http://rhis.czasopisma.pan.pl/Content/84462
IS - No 3 - 4 December
EP - 216
KW - inverse system
KW - linear system
KW - positive system
KW - reachability
KW - stability
ER -
A1 - Kaczorek, Tadeusz
PB - Polish Academy of Sciences
VL - vol. 59
JF - Archives of Electrical Engineering
SP - 203
T1 - Inverse systems of linear systems
UR - http://rhis.czasopisma.pan.pl/dlibra/docmetadata?id=84462
DOI - 10.2478/s10171-010-0016-x