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Titlebook: Methods of Algebraic Geometry in Control Theory: Part II; Multivariable Linear Peter Falb Book 1999 Springer Science+Business Media New Yor

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書目名稱Methods of Algebraic Geometry in Control Theory: Part II
副標(biāo)題Multivariable Linear
編輯Peter Falb
視頻videohttp://file.papertrans.cn/633/632350/632350.mp4
叢書名稱Systems & Control: Foundations & Applications
圖書封面Titlebook: Methods of Algebraic Geometry in Control Theory: Part II; Multivariable Linear Peter Falb Book 1999 Springer Science+Business Media New Yor
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
關(guān)鍵詞algebra; algebraic geometry; design; Divisor; equation; function; geometry; Invariant; Mathematica; Morphism;
版次1
doihttps://doi.org/10.1007/978-1-4612-1564-6
isbn_softcover978-1-4612-7194-9
isbn_ebook978-1-4612-1564-6Series ISSN 2324-9749 Series E-ISSN 2324-9757
issn_series 2324-9749
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

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The Transfer and Hankel Matrices,We begin our study of multi-variable linear systems with an analysis of the “transfer matrix” representation along the lines of the representation (7) of Chapter 1.
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Projective Algebraic Geometry II: Regular Functions, Local Rings, Morphisms,Let . ? ?. be a quasi-projective variety and let . = ..(.) be the homogeneous prime ideal of .. Let . = .[.., ?, ..] and let .(.) = ./.be the homogeneous coordinate ring of .. .(.) is a graded integral domain.
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