TY - JOUR
N2 - 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.
L1 - http://journals.pan.pl/Content/113669/PDF/09_761-768_01209_Bpast.No.67-4_30.08.19_K1.pdf
L2 - http://journals.pan.pl/Content/113669
PY - 2019
IS - No. 4
EP - 768
DO - 10.24425/bpasts.2019.130185
KW - linear
KW - positive
KW - system
KW - decomposition
KW - state matrix
KW - stability
A1 - Kaczorek, T.
VL - 67
T1 - Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts
DA - 31.08.2019
SP - 761
UR - http://journals.pan.pl/dlibra/publication/edition/113669
T2 - Bulletin of the Polish Academy of Sciences: Technical Sciences
ER -