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Methods of algebraic geometry in con...

Falb, Peter.

Methods of algebraic geometry in control theory.Part II,Multivariable linear systems and projective algebraic geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Methods of algebraic geometry in control theory.by Peter Falb.
remainder title:	Multivariable linear systems and projective algebraic geometry
Author:	Falb, Peter.
Published:	Cham :Springer International Publishing :2018.
Description:	x, 390 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Control theory.
Online resource:	https://doi.org/10.1007/978-3-319-96574-1
ISBN:	9783319965741$q(electronic bk.)

Methods of algebraic geometry in control theory.Part II,Multivariable linear systems and projective algebraic geometry
Falb, Peter.

Methods of algebraic geometry in control theory.Part II,Multivariable linear systems and projective algebraic geometry[electronic resource] /Multivariable linear systems and projective algebraic geometryby Peter Falb. - Cham :Springer International Publishing :2018. - x, 390 p. :ill., digital ;24 cm. - Modern birkhauser classics,2197-1803. - Modern birkhauser classics..

1 Scalar Input or Scalar Output Systems -- 2 Two or Three Input, Two Output Systems: Some Examples -- 3 The Transfer and Hankel Matrices -- 4 Polynomial Matrices -- 5 Projective Space -- 6 Projective Algebraic Geometry I: Basic Concepts -- 7 Projective Algebraic Geometry II: Regular Functions, Local Rings, Morphisms -- 8 Exterior Algebra and Grassmannians -- 9 The Laurent Isomorphism Theorem: I -- 10 Projective Algebraic Geometry III: Products, Graphs, Projections -- 11 The Laurent Isomorphism Theorem: II -- 12 Projective Algebraic Geometry IV: Families, Projections, Degree -- 13 The State Space: Realizations, Controllability, Observability, Equivalence -- 14 Projective Algebraic Geometry V: Fibers of Morphisms -- 15 Projective Algebraic Geometry VI: Tangents, Differentials, Simple Subvarieties -- 16 The Geometric Quotient Theorem -- 17 Projective Algebraic Geometry VII: Divisors -- 18 Projective Algebraic Geometry VIII: Intersections -- 19 State Feedback -- 20 Output Feedback -- Appendices -- A Formal Power Series, Completions, Regular Local Rings, and Hubert Polynomials -- B Specialization, Generic Points and Spectra -- C Differentials -- D The Space -- E Review of Affine Algebraic Geometry -- References -- Glossary of Notations.

ISBN: 9783319965741$q(electronic bk.)

Standard No.: 10.1007/978-3-319-96574-1doiSubjects--Topical Terms:

182248
Control theory.

LC Class. No.: QA402.3 / .F353 2018

Dewey Class. No.: 629.8312

Methods of algebraic geometry in control theory.Part II,Multivariable linear systems and projective algebraic geometry
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245 1 0 $a Methods of algebraic geometry in control theory. $n Part II, $p Multivariable linear systems and projective algebraic geometry $h [electronic resource] / $c by Peter Falb.
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300 $a x, 390 p. : $b ill., digital ; $c 24 cm.
490 1 $a Modern birkhauser classics, $x 2197-1803
505 0 $a 1 Scalar Input or Scalar Output Systems -- 2 Two or Three Input, Two Output Systems: Some Examples -- 3 The Transfer and Hankel Matrices -- 4 Polynomial Matrices -- 5 Projective Space -- 6 Projective Algebraic Geometry I: Basic Concepts -- 7 Projective Algebraic Geometry II: Regular Functions, Local Rings, Morphisms -- 8 Exterior Algebra and Grassmannians -- 9 The Laurent Isomorphism Theorem: I -- 10 Projective Algebraic Geometry III: Products, Graphs, Projections -- 11 The Laurent Isomorphism Theorem: II -- 12 Projective Algebraic Geometry IV: Families, Projections, Degree -- 13 The State Space: Realizations, Controllability, Observability, Equivalence -- 14 Projective Algebraic Geometry V: Fibers of Morphisms -- 15 Projective Algebraic Geometry VI: Tangents, Differentials, Simple Subvarieties -- 16 The Geometric Quotient Theorem -- 17 Projective Algebraic Geometry VII: Divisors -- 18 Projective Algebraic Geometry VIII: Intersections -- 19 State Feedback -- 20 Output Feedback -- Appendices -- A Formal Power Series, Completions, Regular Local Rings, and Hubert Polynomials -- B Specialization, Generic Points and Spectra -- C Differentials -- D The Space -- E Review of Affine Algebraic Geometry -- References -- Glossary of Notations.
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