TY - JOUR
N2 - Poles and zeros assignment problem by state feedbacks in positive continuous-time and discrete-time systems is analyzed. It is shown that in multi-input multi-output positive linear systems by state feedbacks the poles and zeros of the transfer matrices can be assigned in the desired positions. In the positive continuous-time linear systems the feedback gain matrix can be chosen as a monomial matrix so that the poles and zeros of the transfer matrices have the desired values if the input matrix B is monomial. In the positive discrete-time linear systems to solve the problem the matrix B can be chosen monomial if and only if in every row and every column of the n x n system matrix A the sum of n-1 its entries is less than one. Key words: assignment, pole, zero, transfer matrix, linear, positive, system, state feedback
L1 - http://sd.czasopisma.pan.pl/Content/120825/PDF/art05_corr.pdf
L2 - http://sd.czasopisma.pan.pl/Content/120825
PY - 2021
IS - No 3
EP - 605
DO - 10.24425/acs.2021.138693
KW - assignment
KW - pole
KW - zero
KW - transfer matrix
KW - linear
KW - positive
KW - system
KW - state feedback
A1 - Kaczorek, Tadeusz
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 31
DA - 2021.09.27
T1 - Poles and zeros assignment by state feedbacks in positive linear systems
SP - 593
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/120825
T2 - Archives of Control Sciences
ER -