@article{Kaczorek_Tadeusz_Inverse_2010,
author={Kaczorek, Tadeusz},
howpublished={online},
year={2010},
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={ArtykuĹ‚y / Articles},
title={Inverse systems of linear systems},
volume={vol. 59},
number={No 3 - 4 December},
pages={203-216},
journal={Archives of Electrical Engineering},
publisher={Polish Academy of Sciences},
doi={10.2478/s10171-010-0016-x},
keywords={inverse system, linear system, positive system, reachability, stability},
}