A homotopy theorem for incremental stability
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912140761235456 |
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| author | Chaffey, Thomas Kharitenko, Andrey Forni, Fulvio Sepulchre, Rodolphe |
| author_facet | Chaffey, Thomas Kharitenko, Andrey Forni, Fulvio Sepulchre, Rodolphe |
| contents | A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled Relative Graphs, correcting two assumptions in [1, Theorem 2]. A second corollary provides an incremental version of the classical IQC stability theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A homotopy theorem for incremental stability Chaffey, Thomas Kharitenko, Andrey Forni, Fulvio Sepulchre, Rodolphe Optimization and Control Systems and Control 93C10, 93C80, 47H05 A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled Relative Graphs, correcting two assumptions in [1, Theorem 2]. A second corollary provides an incremental version of the classical IQC stability theorem. |
| title | A homotopy theorem for incremental stability |
| topic | Optimization and Control Systems and Control 93C10, 93C80, 47H05 |
| url | https://arxiv.org/abs/2412.01580 |