@ARTICLE{Kaczorek_T._Stability_2019, author={Kaczorek, T.}, volume={67}, number={No. 4}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={761-768}, howpublished={online}, year={2019}, abstract={The stability of positive linear continuous-time and discrete-time systems is analyzed by the use of the decomposition of the state matrices into symmetrical and antisymmetrical parts. It is shown that: 1) The state Metzler matrix of positive continuous-time linear system is Hurwitz if and only if its symmetrical part is Hurwitz; 2) The state matrix of positive linear discrete-time system is Schur if and only if its symmetrical part is Hurwitz. These results are extended to inverse matrices of the state matrices of the positive linear systems.}, type={Artykuły / Articles}, title={Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts}, URL={http://journals.pan.pl/Content/113669/PDF/09_761-768_01209_Bpast.No.67-4_30.08.19_K1.pdf}, doi={10.24425/bpasts.2019.130185}, keywords={linear, positive, system, decomposition, state matrix, stability}, }