Computable Characterisations of Scaled Relative Graphs of Closed Operators
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914460246999040 |
|---|---|
| author | Nauta, Talitha Pates, Richard |
| author_facet | Nauta, Talitha Pates, Richard |
| contents | The Scaled Relative Graph (SRG) is a promising tool for stability and robustness analysis of multi-input multi-output systems. In this paper, we provide tools for exact and computable constructions of the SRG for closed linear operators, based on maximum and minimum gain computations. The results are suitable for bounded and unbounded operators, and we specify how they can be used to draw SRGs for the typical operators that are used to model linear-time-invariant dynamical systems. Furthermore, for the special case of state-space models, we show how the Bounded Real Lemma can be used to construct the SRG. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08420 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computable Characterisations of Scaled Relative Graphs of Closed Operators Nauta, Talitha Pates, Richard Systems and Control Optimization and Control Primary 47A05, 51M15, Secondary 47A12 The Scaled Relative Graph (SRG) is a promising tool for stability and robustness analysis of multi-input multi-output systems. In this paper, we provide tools for exact and computable constructions of the SRG for closed linear operators, based on maximum and minimum gain computations. The results are suitable for bounded and unbounded operators, and we specify how they can be used to draw SRGs for the typical operators that are used to model linear-time-invariant dynamical systems. Furthermore, for the special case of state-space models, we show how the Bounded Real Lemma can be used to construct the SRG. |
| title | Computable Characterisations of Scaled Relative Graphs of Closed Operators |
| topic | Systems and Control Optimization and Control Primary 47A05, 51M15, Secondary 47A12 |
| url | https://arxiv.org/abs/2511.08420 |