| 书目名称 | Methods of Algebraic Geometry in Control Theory: Part I |
| 副标题 | Scalar Linear System |
| 编辑 | Peter Falb |
| 视频video | |
| 概述 | 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 engi |
| 丛书名称 | Modern Birkhäuser Classics |
| 图书封面 |  |
| 描述 | "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. .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 |
| 出版日期 | Textbook 2018 |
| 关键词 | affine algebraic geometry; scalar linear systems; tensor products; fibers of morphisms; controllability |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-98026-3 |
| isbn_softcover | 978-3-319-98025-6 |
| isbn_ebook | 978-3-319-98026-3Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
| issn_series | 2197-1803 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 16:03:53
