TY - JOUR
T1 - Equivalence and reduction delay-differential systems
AU - Boudellioua, Mohamed Salah
PY - 2007
Y1 - 2007
N2 - A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.
AB - A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.
KW - Determinantal ideals
KW - Gröbner bases
KW - Neutral delay-differential systems
KW - Polynomial matrix description
KW - Strict system equivalence
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U2 - 10.2478/v10006-007-0002-7
DO - 10.2478/v10006-007-0002-7
M3 - Article
AN - SCOPUS:34249899157
SN - 1641-876X
VL - 17
SP - 15
EP - 22
JO - International Journal of Applied Mathematics and Computer Science
JF - International Journal of Applied Mathematics and Computer Science
IS - 1
ER -