Methods of Algebraic Geometry in Control Theory: Multivariable Linear Systems and Projective Algebraic Geometry

Author:   P.L. Falb
Publisher:   Birkhauser Verlag AG
ISBN:  

9783764341138


Pages:   368
Publication Date:   July 1999
Replaced By:   9780817641139
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Methods of Algebraic Geometry in Control Theory: Multivariable Linear Systems and Projective Algebraic Geometry


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Author:   P.L. Falb
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
ISBN:  

9783764341138


ISBN 10:   3764341130
Pages:   368
Publication Date:   July 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Replaced By:   9780817641139
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Scalar input or scalar output systems; two or three input, two output systems - some examples; the transfer and Hankel matrices; polynomial matrices; projective space; projective algebraic geometry I - basic concepts; projective algebraic geometry II - regular functions, local rings, morphisms; exterior algebra and grassmannians; the Laurent isomorphism theorem I; projective algebraic geometric III - products, projections, degree; the Laurent isomorphism theorem II; projective algebraic geometry IV - families, projections, degree; the state space - realizations, controllability, observability, equivalence; projective algebraic geometry V - fibres of morphisms; projective algebraic geometry VI - tangents, differentials, simple subvarieties; the geometry quotient theorem; projective algebraic geometry VII -divisors; projective algebraic geometry VIII - intersections; state feedback; output feedback; formal power series, completions, regular local rings, and Hilbert polynomials; specialization, generic points and spectra; differentials; the space nm; review of affine algebraic geometry.

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