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Titlebook: Methods of Algebraic Geometry in Control Theory: Part I; Scalar Linear System Peter Falb Textbook 2018 Springer Nature Switzerland AG 2018

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Affine Algebraic Geometry: Regular Functions and Morphisms II,We now turn our attention to the issue of generalizing the notions of regular function and morphism.
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The Stage Space: Controllability, observability, Equivalence,We noted in section 10 that the various realization maps were never injective.
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Group Actions, Equivalence and Invariants,We now turn our attention to examining in a general way such group actions as (11.25) and the corresponding equivalence relations.
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Affine Algebraic Geometry: Dimension,So let us now turn our attention to developing the notion of dimension.
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Affine Algebraic Geometry: Fibers of Morphisms,We shall in this section use the term, “variety”, to mean either an affine or quasi-affine variety.
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