Special Stable Matrices and Their Non-square Counterpart
Optimization and Control
2024-01-02 v1 Systems and Control
Systems and Control
Abstract
In this note, we discuss the extension of several important stable square matrices, e.g., D-stable matrices, diagonal dominance matrices, Volterra-Lyapunov stable matrices, to their corresponding non-square matrices. The extension is motivated by some distributed control-related problems, such as decentralized unconditional stability and decentralized integral controllability for non-square processes. We will provide the connections of conditions between these special square matrices and their associated non-square counterparts. Some conjectures for these special matrices are proposed for future research.
Cite
@article{arxiv.2401.00367,
title = {Special Stable Matrices and Their Non-square Counterpart},
author = {Steven W. Su},
journal= {arXiv preprint arXiv:2401.00367},
year = {2024}
}
Comments
7 pages; no figure