methods algebraic geometry control von falb peter (87 Ergebnisse)

IX, 202 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Modern Birkhäuser Classics. Sprache: Englisch.

Zustand: New. pp. 404.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'An introduction to the ideas of algebraic geometry in the motivated context of system theory.' This describes this two volume work which has been specifically written to serve the needs of researchers and students of systems, control, and applied mathematics. Without sacrificing mathematical rigor, 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 on abstraction. While familiarity with Part I is helpful, it is not essential, since a considerable amount of relevant material is included here.Part I,Scalar Linear Systems and Affine Algebraic Geometry,contains a clear presentation, with an applied flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback.Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource.The present, softcover reprint is designed to make this classic textbook available to a wider audience.'The exposition is extremely clear. In order to motivate the general theory, the author presents a number of examples of two or three input-, two-output systems in detail. I highly recommend this excellent book to all those interested in the interplay between control theory and algebraic geometry.'-Publicationes Mathematicae, Debrecen'This book is the multivariable counterpart of Methods of Algebraic Geometry in Control Theory, Part I. In the first volume the simpler single-input-single-output time-invariant linear systems were considered and the corresponding simpler affine algebraic geometry was used as the required prerequisite. Obviously, multivariable systems are more difficult and consequently the algebraic results are deeper and less transparent, but essential in the understanding of linear control theory. Each chapter contains illustrative examples throughout and terminates with some exercises for further study.'-Mathematical Reviews.

Hardcover. Zustand: As New. LN, bright white pages, tight binding, clean inside and out, excellent copy.

Zustand: Buone. inglese Condizioni dell'esterno: Buone Condizioni dell'interno: Ottime.

Karton. Zustand: Sehr gut. Zust: Gutes Exemplar. 202 Seiten, mit Abbildungen, Englisch 452g.

Zustand: New. In.

Zustand: Buone. inglese Condizioni dell'esterno: Buone Condizioni dell'interno: Ottime.

Taschenbuch. Zustand: Neu. Neuware -'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 second volume deals with multi-variable linear systems and pro jective algebraic geometry. The results are deeper and less transparent, but are also quite essential to an understanding of linear control theory. A review of \* From the Preface to Part 1. viii Preface the scalar theory is included along with a brief summary of affine algebraic geometry (Appendix E).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 404 pp. Englisch.

hardcover. Zustand: New. New. book.

N.A. Zustand: New. ISBN:9780817641139.