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arXiv · 2403.10306

A Unified Non-Strict Finsler Lemma

T. J. Meijer·K. J. A. Scheres·S. van den Eijnden·T. Holicki·C. W. Scherer·W. P. M. H. Heemels
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Abstract

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.

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T. J. Meijer, K. J. A. Scheres, S. van den Eijnden, T. Holicki, C. W. Scherer, W. P. M. H. Heemels. 2024-03-15. A Unified Non-Strict Finsler Lemma. https://doi.org/10.1109/lcsys.2024.3415473

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