A Unified Non-Strict Finsler Lemma
<|reference_start|>A Unified Non-Strict Finsler Lemma: 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.<|reference_end|>
@article{meijer2024a,
    title={A Unified Non-Strict Finsler Lemma},
    author={T.J. Meijer, K.J.A. Scheres, S. van den Eijnden, T. Holicki, C.W.
  Scherer, W.P.M.H. Heemels},
    journal={arXiv preprint arXiv:2403.10306},
    year={2024},
    doi={10.1109/LCSYS.2024.3415473},
    archivePrefix={arXiv},
    eprint={2403.10306},
    primaryClass={math.OC cs.SY eess.SY}
}