Overview
- Provides ?a clear presentation of the core ideas in the algebra-geometric treatment of scalar linear system theory with an applied flavor
- Makes the basic ideas of algebraic geometry accessible to engineers and applied scientists
- Introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems
Part of the book series: Modern Birkhäuser Classics (MBC)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (23 chapters)
Keywords
About this book
The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. 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).
Prerequisites are the basics of linear algebra, some simple notions from topologyand 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
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Methods of Algebraic Geometry in Control Theory: Part I
Book Subtitle: Scalar Linear Systems and Affine Algebraic Geometry
Authors: Peter Falb
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-3-319-98026-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-98025-6Published: 03 September 2018
eBook ISBN: 978-3-319-98026-3Published: 25 August 2018
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: IX, 202
Number of Illustrations: 3 b/w illustrations
Topics: Algebraic Geometry, Systems Theory, Control, Control and Systems Theory