| 书目名称 | Methods of Algebraic Geometry in Control Theory: Part II | | 副标题 | Multivariable Linear | | 编辑 | Peter Falb | | 视频video | | | 丛书名称 | Systems & Control: Foundations & Applications | | 图书封面 |  | | 描述 | "Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of this book is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory" .* The development which culminated with this volume began over twenty-five years ago with a series of lectures at the control group of the Lund Institute of Technology in Sweden. I have sought throughout to strive for clarity, often using constructive methods and giving several proofs of a particular result as well as many examples. The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry). While this is quite satisfactory and natural for scalar systems, the study of multi-input, multi-output linear time invariant control systems requires projective algebraic geometry. Thus, this | | 出版日期 | Book 1999 | | 关键词 | algebra; algebraic geometry; design; Divisor; equation; function; geometry; Invariant; Mathematica; Morphism; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1564-6 | | isbn_softcover | 978-1-4612-7194-9 | | isbn_ebook | 978-1-4612-1564-6Series ISSN 2324-9749 Series E-ISSN 2324-9757 | | issn_series | 2324-9749 | | copyright | Springer Science+Business Media New York 1999 |
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发表于 2025-3-21 19:43:56
