Kernel-representations and realizations of delay-differential systems

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish
Pages (from-to)2023-2028
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


Dive into the research topics of 'Kernel-representations and realizations of delay-differential systems'. Together they form a unique fingerprint.

Cite this