On the Existence of a Fixed Spectrum for a Multi-channel Linear System: A Matroid Theory Approach
arXiv:1904.01499
AI Analysis
For control theorists, it offers an alternative proof of an existing result, but the contribution is incremental as the conditions were already known.
This paper reestablishes known conditions for the existence of a fixed spectrum in multi-channel linear systems using a matroid theory approach, providing a new and transparent derivation.
Conditions for the existence of a fixed spectrum \{i.e., the set of fixed modes\} for a multi-channel linear system have been known for a long time. The aim of this paper is to reestablish one of these conditions using a new and transparent approach based on matroid theory.