Special Stable Matrices and Their Non-square Counterpart
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909058381905920 |
|---|---|
| author | Su, Steven W. |
| author_facet | Su, Steven W. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00367 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Special Stable Matrices and Their Non-square Counterpart Su, Steven W. Optimization and Control Systems and Control 93a01 (Primary) 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. |
| title | Special Stable Matrices and Their Non-square Counterpart |
| topic | Optimization and Control Systems and Control 93a01 (Primary) |
| url | https://arxiv.org/abs/2401.00367 |