# ARX modeling of unstable linear systems

arXiv: https://arxiv.org/abs/1603.04184 · HTML: https://mlsanity.com/paper/1603.04184/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Mar 2016.

## Built on by (most cited first, 1 of 1)

- [Moving pattern-based modeling using a new type of interval ARX model](https://mlsanity.com/paper/2307.04402/) (2023)

## Abstract (arXiv)

High-order ARX models can be used to approximate a quite general class of linear systems in a parametric model structure, and well-established methods can then be used to retrieve the true plant and noise models from the ARX polynomials. However, this commonly used approach is only valid when the plant is stable or if the unstable poles are shared with the true noise model. In this contribution, we generalize this approach to allow the unstable poles not to be shared, by introducing modifications to correctly retrieve the noise model and noise variance.