A Unified Non-Strict Finsler Lemma
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909329972527104 |
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| author | Meijer, T. J. Scheres, K. J. A. Eijnden, S. van den Holicki, T. Scherer, C. W. Heemels, W. P. M. H. |
| author_facet | Meijer, T. J. Scheres, K. J. A. Eijnden, S. van den Holicki, T. Scherer, C. W. Heemels, W. P. M. H. |
| contents | In this paper, we present a unified general non-strict Finsler lemma. This result is general in the sense that it does not impose any restrictions on the involved matrices and, thereby, it encompasses all existing non-strict versions of Finsler's lemma that do impose such restrictions. To further illustrate its usefulness, we showcase applications of the non-strict Finsler's lemma in deriving a structured solution to a special case of the non-strict projection lemma, and we use the unified non-strict Finsler's lemma to prove a more general version of the matrix Finsler's lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10306 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Unified Non-Strict Finsler Lemma Meijer, T. J. Scheres, K. J. A. Eijnden, S. van den Holicki, T. Scherer, C. W. Heemels, W. P. M. H. Optimization and Control Systems and Control In this paper, we present a unified general non-strict Finsler lemma. This result is general in the sense that it does not impose any restrictions on the involved matrices and, thereby, it encompasses all existing non-strict versions of Finsler's lemma that do impose such restrictions. To further illustrate its usefulness, we showcase applications of the non-strict Finsler's lemma in deriving a structured solution to a special case of the non-strict projection lemma, and we use the unified non-strict Finsler's lemma to prove a more general version of the matrix Finsler's lemma. |
| title | A Unified Non-Strict Finsler Lemma |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2403.10306 |