English

A Note on Order and Index Reduction for Descriptor Systems

Systems and Control 2021-01-20 v1 Systems and Control

Abstract

We present order reduction results for linear time invariant descriptor systems. Results are given for both forced and unforced systems as well methods for constructing the reduced order systems. Our results establish a precise connection between classical and new results on this topic, and lead to an elementary construction of quasi-Weierstrass forms for a descriptor system. Examples are given to illustrate the usefulness of our results.

Keywords

Cite

@article{arxiv.2101.07649,
  title  = {A Note on Order and Index Reduction for Descriptor Systems},
  author = {Martin Corless and Robert Shorten},
  journal= {arXiv preprint arXiv:2101.07649},
  year   = {2021}
}

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R2 v1 2026-06-23T22:19:01.457Z