@ARTICLE{Kaczorek_Tadeusz_Inverse_2010,
 author={Kaczorek, Tadeusz},
 volume={vol. 59},
 number={No 3 - 4 December},
 journal={Archives of Electrical Engineering},
 pages={203-216},
 howpublished={online},
 year={2010},
 publisher={Polish Academy of Sciences},
 abstract={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.},
 type={Artykuły / Articles},
 title={Inverse systems of linear systems},
 URL={http://ochroma.man.poznan.pl/Content/84462/PDF/08_paper.pdf},
 doi={10.2478/s10171-010-0016-x},
 keywords={inverse system, linear system, positive system, reachability, stability},
}