Identification of contractive Lur'e-type systems via kernel-based Lipschitz design
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918221879181312 |
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| author | Donati, Cesare Dabbene, Fabrizio Lagoa, Constantino Novara, Carlo Ebihara, Yoshio |
| author_facet | Donati, Cesare Dabbene, Fabrizio Lagoa, Constantino Novara, Carlo Ebihara, Yoshio |
| contents | This paper addresses the problem of identifying contractive Lur'e-type systems. Specifically, it proposes an identification framework that integrates linear prior knowledge with a kernel representation of the nonlinear feedback while systematically enforcing contractivity via Lipschitz constant design. The resulting algorithms provide models that are accurate in prediction, interpretable, and faithful to the contractive nature of the true system. Numerical experiments demonstrate that enforcing contractivity significantly improves parameter estimation and yields models that are both accurate and physically meaningful. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identification of contractive Lur'e-type systems via kernel-based Lipschitz design Donati, Cesare Dabbene, Fabrizio Lagoa, Constantino Novara, Carlo Ebihara, Yoshio Systems and Control This paper addresses the problem of identifying contractive Lur'e-type systems. Specifically, it proposes an identification framework that integrates linear prior knowledge with a kernel representation of the nonlinear feedback while systematically enforcing contractivity via Lipschitz constant design. The resulting algorithms provide models that are accurate in prediction, interpretable, and faithful to the contractive nature of the true system. Numerical experiments demonstrate that enforcing contractivity significantly improves parameter estimation and yields models that are both accurate and physically meaningful. |
| title | Identification of contractive Lur'e-type systems via kernel-based Lipschitz design |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2511.22993 |