A Unified Non-Strict Finsler Lemma
Optimization and Control
2024-10-01 v2 Systems and Control
Systems and Control
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.
Cite
@article{arxiv.2403.10306,
title = {A Unified Non-Strict Finsler Lemma},
author = {T. J. Meijer and K. J. A. Scheres and S. van den Eijnden and T. Holicki and C. W. Scherer and W. P. M. H. Heemels},
journal= {arXiv preprint arXiv:2403.10306},
year = {2024}
}