On the Existence of a Fixed Spectrum for a Multi-channel Linear System: A Matroid Theory Approach
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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.
💡 Research Summary
The paper revisits a classical result in decentralized control theory concerning the existence of a fixed spectrum (the set of fixed modes) for a multi‑channel linear system
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