# Sufficient D-Stability Conditions for Non-Square Matrices

arXiv: https://arxiv.org/abs/2406.15440 · HTML: https://mlsanity.com/paper/2406.15440/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 May 2024.

## Built on by (most cited first, 2 of 2)

- [Almost Sure Convergence of Differential Temporal Difference Learning for Average Reward Markov Decision Processes](https://mlsanity.com/paper/2602.16629/) (2026)
- [Feasible Pairings for Decentralized Integral Controllability of Non-Square Systems](https://mlsanity.com/paper/2603.01076/) (2026)

## Abstract (arXiv)

This note explores the extension of D-stability to non-square matrices, applicable to distributed/decentralized controllability analysis. We first present a definition of D-stability for non-square matrices, directly extending from square matrices. We propose sufficient conditions for specific configurations of non-square matrices. Finally, we consider the selection of configurations to ensure the D-stability of a given non-square system.