# Stabilizing Error Correction Codes for Controlling LTI Systems over Erasure Channels

arXiv: https://arxiv.org/abs/2201.05488 · HTML: https://mlsanity.com/paper/2201.05488/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Jan 2022.

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

- [Time-invariant Prefix Coding for LQG Control](https://mlsanity.com/paper/2204.00588/) (2022)

## Abstract (arXiv)

We propose (k,k') stabilizing codes, which is a type of delayless error correction codes that are useful for control over networks with erasures. For each input symbol, k output symbols are generated by the stabilizing code. Receiving any k' of these outputs guarantees stability. Thus, the system to be stabilized is taken into account in the design of the erasure codes. Our focus is on LTI systems, and we construct codes based on independent encodings and multiple descriptions. The theoretical efficiency and performance of the codes are assessed, and their practical performances are demonstrated in a simulation study. There is a significant gain over other delayless codes such as repetition codes.