Certification of Linear Inclusions for Nonlinear Systems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913460680392704 |
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| author | Abdelsalam, Yehia Engell, Sebastian |
| author_facet | Abdelsalam, Yehia Engell, Sebastian |
| contents | In this work, we propose novel method for certifying if a given set of vertex linear systems constitute a linear difference inclusion for a nonlinear system. The method relies on formulating the verification of the inclusion as an optimization problem in a novel manner. The result is a Yes/No certificate. We illustrate how the method can be useful in obtaining less conservative linear enclosures for nonlinear systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certification of Linear Inclusions for Nonlinear Systems Abdelsalam, Yehia Engell, Sebastian Systems and Control In this work, we propose novel method for certifying if a given set of vertex linear systems constitute a linear difference inclusion for a nonlinear system. The method relies on formulating the verification of the inclusion as an optimization problem in a novel manner. The result is a Yes/No certificate. We illustrate how the method can be useful in obtaining less conservative linear enclosures for nonlinear systems. |
| title | Certification of Linear Inclusions for Nonlinear Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2408.03918 |