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.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://rhis.czasopisma.pan.pl/Content/113669/PDF/09_761-768_01209_Bpast.No.67-4_30.08.19_K1.pdf L2 - http://rhis.czasopisma.pan.pl/Content/113669 IS - No. 4 EP - 768 KW - linear KW - positive KW - system KW - decomposition KW - state matrix KW - stability ER - A1 - Kaczorek, T. VL - 67 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 761 T1 - Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts UR - http://rhis.czasopisma.pan.pl/dlibra/docmetadata?id=113669 DOI - 10.24425/bpasts.2019.130185