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.
Original language | English |
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Pages (from-to) | 15-22 |
Number of pages | 8 |
Journal | International Journal of Applied Mathematics and Computer Science |
Volume | 17 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2007 |
Keywords
- Determinantal ideals
- Gröbner bases
- Neutral delay-differential systems
- Polynomial matrix description
- Strict system equivalence
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Engineering (miscellaneous)
- Applied Mathematics