Sufficient D-Stability Conditions for Non-Square Matrices
Yuhao Tong, Steven W.Su
TL;DR
This paper extends the concept of D-stability to non-square matrices, providing new definitions, sufficient conditions, and configuration selection methods to analyze stability in distributed control systems.
Contribution
It introduces a novel extension of D-stability to non-square matrices and proposes criteria for their stability analysis in decentralized systems.
Findings
Defined D-stability for non-square matrices
Proposed sufficient stability conditions for specific configurations
Outlined methods for configuration selection to ensure stability
Abstract
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.
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Taxonomy
TopicsMatrix Theory and Algorithms · Stability and Control of Uncertain Systems