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• W2065894992 abstract "In an earlier work, the authors have introduced a coordinate-free, module-theoretic definition of zeros for the transfer function G(s) of a linear multivariable system (A,B,C). The first contribution of this paper is the construction of an explicit k[z]-module isomorphism from that zero module, Z(G), to V∗/R∗, where V∗ is the supremal (A,B)-invariant subspace contained in kerC and R∗ is the supremal (A,B)-controllable subspace contained in kerC, and where (A,B,C) constitutes a minimal realization of G(s). The isomorphism is developed from an exact commutative diagram of k-vector spaces. The second contribution is the introduction of a zero-signal generator and the establishment of a relation between this generator and the classic notion of blocked signal transmissions." @default.
• W2065894992 created "2016-06-24" @default.
• W2065894992 creator A5065634784 @default.
• W2065894992 creator A5071472303 @default.
• W2065894992 date "1983-04-01" @default.
• W2065894992 modified "2023-10-12" @default.
• W2065894992 title "On the zeros of a minimal realization" @default.
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• W2065894992 doi "https://doi.org/10.1016/0024-3795(83)90072-1" @default.
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