TY - JOUR
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.
L1 - http://so.czasopisma.pan.pl/Content/84462/PDF/08_paper.pdf
L2 - http://so.czasopisma.pan.pl/Content/84462
PY - 2010
IS - No 3 - 4 December
EP - 216
DO - 10.2478/s10171-010-0016-x
KW - inverse system
KW - linear system
KW - positive system
KW - reachability
KW - stability
A1 - Kaczorek, Tadeusz
PB - Polish Academy of Sciences
VL - vol. 59
DA - 2010
T1 - Inverse systems of linear systems
SP - 203
UR - http://so.czasopisma.pan.pl/dlibra/publication/edition/84462
T2 - Archives of Electrical Engineering
ER -