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://journals.pan.pl/Content/84462/PDF/08_paper.pdf L2 - http://journals.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://journals.pan.pl/dlibra/publication/edition/84462 T2 - Archives of Electrical Engineering ER -