Sufficient D-Stability Conditions for Non-Square Matrices

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Bibliographic Details
Main Authors:	Tong, Yuhao, Su, Steven W.
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
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_version_	1866914844633989120
author	Tong, Yuhao Su, Steven W.
author_facet	Tong, Yuhao Su, Steven W.
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_15440
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Sufficient D-Stability Conditions for Non-Square Matrices Tong, Yuhao Su, Steven W. Optimization and Control 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.
title	Sufficient D-Stability Conditions for Non-Square Matrices
topic	Optimization and Control
url	https://arxiv.org/abs/2406.15440

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