@ARTICLE{Kaczorek_Tadeusz_Inverse_2010,
author={Kaczorek, Tadeusz},
volume={vol. 59},
number={No 3 - 4 December},
pages={203-216},
journal={Archives of Electrical Engineering},
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.},
title={Inverse systems of linear systems},
type={ArtykuĹ‚y / Articles},
URL={http://journals.pan.pl/Content/84462/PDF/08_paper.pdf},
doi={10.2478/s10171-010-0016-x},
keywords={inverse system, linear system, positive system, reachability, stability},
}