摘要：AbstractCoprime factorizations of transfer functions play various important roles, e.g., minimality of realizations, stabilizability of systems, etc. This paper studies the Bézout condition over the ring E′(ℝ_) of distributions of compact support and the ring M(ℝ_) of measures with compact support. These spaces are known to play crucial roles in minimality of state space representations and controllability of behaviors. We give a detailed review of the results obtained thus far, as well as discussions on a new attempt of deriving general results from that for measures. It is clarified that there is a technical gap in generalizing the result for M(ℝ_) to that for E′(ℝ_). A detailed study of a concrete example is given.
关键词：KeywordsBézout identitypseudorationalitydistributionsGel’fand representationdelay-differential systems
