English

Relationship between Granger non-causality and graph structure of state-space representations

Optimization and Control 2016-07-18 v1

Abstract

In this paper we present an equivalent form of Granger noncausality in state space representation. As a generalization of this result, necessary and sufficient conditions are provided for an output process to admit a particular minimal coordinated state space representation.

Cite

@article{arxiv.1607.04374,
  title  = {Relationship between Granger non-causality and graph structure of state-space representations},
  author = {M. Jozsa and M. Petreczky and M. K. Camlibel},
  journal= {arXiv preprint arXiv:1607.04374},
  year   = {2016}
}
R2 v1 2026-06-22T14:55:26.787Z