来自于 发表于 2025-3-23 10:54:02

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摊位 发表于 2025-3-23 17:43:21

The Laurent Isomorphism Theorem: II,Now we wish to give an appropriate algebraic structure to Hank(., ., .). One approach would be to consider the image of .(., ., .) under the Laurent map, which by Theorem 10.16, would be a quasi-projective variety and then to show the image is bijective to Hank(., ., .). We shall use a different approach here.

acclimate 发表于 2025-3-23 19:54:37

Projective Algebraic Geometry IV: Families, Projections, Degree,We shall use the Main Theorem of Elimination Theory (10.16) to develop some families of varieties.

六边形 发表于 2025-3-24 00:50:12

The State Space: Realizations, Controllability, Observability, Equivalence,We have already introduced “realizations” in dealing with the transfer and Hankel matrices (see Chapter 3). In this chapter, we extend the theory developed in Part I (e.g., Chapters 10 and 11).

deficiency 发表于 2025-3-24 05:20:22

Projective Algebraic Geometry V: Fibers of Morphisms,Our goal here is to extend and amplify the results of Part I, Chapter 18 for the projective situation. The term “variety” means either a projective or quasi-projective variety.

CARK 发表于 2025-3-24 10:30:42

Projective Algebraic Geometry VI: Tangents, Differentials, Simple Subvarieties,We recall (I.20) that if .. is an affine variety and . ∈ .., then the (Zariski) ...., ..., is given by any of the following:

HERE 发表于 2025-3-24 12:34:45

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弯曲道理 发表于 2025-3-24 18:05:51

Projective Algebraic Geometry VIII: Intersections,We shall examine in a brief elementary way the notion of intersection of varieties (, ). We shall eventually prove Bezout’s Theorem which plays a role in pole placement.

jagged 发表于 2025-3-24 22:40:50

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故意 发表于 2025-3-25 01:51:35

Methods of Algebraic Geometry in Control Theory: Part II978-1-4612-1564-6Series ISSN 2324-9749 Series E-ISSN 2324-9757
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查看完整版本: Titlebook: Methods of Algebraic Geometry in Control Theory: Part II; Multivariable Linear Peter Falb Book 1999 Springer Science+Business Media New Yor