Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry
2018 ed.
by
Peter Falb
Book Details
Format
Paperback / Softback
Book Series
Modern Birkhauser Classics
ISBN-10
3319980254
ISBN-13
9783319980256
Edition
2018 ed.
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 3rd, 2018
Print length
202 Pages
Weight
340 grams
Dimensions
15.70 x 23.40 x 1.40 cms
Product Classification:
Cybernetics & systems theoryAlgebraic geometryAutomatic control engineering
Ksh 8,100.00
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The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry).
"An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction.
Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience.
"This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians."
-Monatshefte für Mathematik
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