# 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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