English

A constructive proof of the phase-type characterization theorem

Systems and Control 2015-02-03 v1

Abstract

The paper presents a new proof of O'Cinneide's characterization theorem. It is much simpler than the original one and constructive in the sense that we not only show the existence of a phase type representation, but present a procedure which creates a phase type representation. We prove that the procedure succeeds when the conditions of the characterization theorem hold.

Cite

@article{arxiv.1502.00521,
  title  = {A constructive proof of the phase-type characterization theorem},
  author = {I. Horvath and M. Telek},
  journal= {arXiv preprint arXiv:1502.00521},
  year   = {2015}
}
R2 v1 2026-06-22T08:19:11.689Z