Abstract
We investigate linear time-invariant delay-differential systems within the behavioral approach. A suitable ring of operators including polynomial delay-differential operators with commensurate point-delays but also some specific distributed delay operators is introduced. Within this class of operators it is shown that ARMA-systems do always admit a kernel-representation. Furthermore, we characterize those operator matrices, which are realizable as a first-order system. In this case, the polynomial model of Fuhrmann is shown to be a realization in the behavioral sense.
Original language | English |
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Pages (from-to) | 2023-2028 |
Number of pages | 6 |
Journal | Proceedings of the IEEE Conference on Decision and Control |
Volume | 3 |
State | Published - 1997 |
Event | Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA Duration: Dec 10 1997 → Dec 12 1997 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization