Equivalence and reduction of delay-differential systems
International Journal of Applied Mathematics and Computer Science (2007)
- Volume: 17, Issue: 1, page 15-22
- ISSN: 1641-876X
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topBoudellioua, Mohamed. "Equivalence and reduction of delay-differential systems." International Journal of Applied Mathematics and Computer Science 17.1 (2007): 15-22. <http://eudml.org/doc/207817>.
@article{Boudellioua2007,
abstract = {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.},
author = {Boudellioua, Mohamed},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {strict system equivalence; determinantal ideals; neutral delay-differential systems; polynomial matrix description; Gröbner bases},
language = {eng},
number = {1},
pages = {15-22},
title = {Equivalence and reduction of delay-differential systems},
url = {http://eudml.org/doc/207817},
volume = {17},
year = {2007},
}
TY - JOUR
AU - Boudellioua, Mohamed
TI - Equivalence and reduction of delay-differential systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 1
SP - 15
EP - 22
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.
LA - eng
KW - strict system equivalence; determinantal ideals; neutral delay-differential systems; polynomial matrix description; Gröbner bases
UR - http://eudml.org/doc/207817
ER -
References
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