Stability-Preserving Model Reduction of Networked Lur'e Systems
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909239234002944 |
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| author | Dou, Yangming Cheng, Xiaodong Scherpen, Jacquelien M. A. |
| author_facet | Dou, Yangming Cheng, Xiaodong Scherpen, Jacquelien M. A. |
| contents | This paper proposes a model reduction approach for simplifying the interconnection topology of Lur'e network systems. A class of reduced-order models are generated by the projection framework based on graph clustering, which not only preserve the network structure but also ensure absolute stability. Furthermore, we provide an upper bound on the input-output approximation error between the original and reduced-order Lur'e network systems, which is expressed as a function of the characteristic matrix of graph clustering. Finally, the results are illustrated via a numerical example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02202 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability-Preserving Model Reduction of Networked Lur'e Systems Dou, Yangming Cheng, Xiaodong Scherpen, Jacquelien M. A. Systems and Control This paper proposes a model reduction approach for simplifying the interconnection topology of Lur'e network systems. A class of reduced-order models are generated by the projection framework based on graph clustering, which not only preserve the network structure but also ensure absolute stability. Furthermore, we provide an upper bound on the input-output approximation error between the original and reduced-order Lur'e network systems, which is expressed as a function of the characteristic matrix of graph clustering. Finally, the results are illustrated via a numerical example. |
| title | Stability-Preserving Model Reduction of Networked Lur'e Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2407.02202 |