Topics in the Geometric Theory of Linear Systems

Topics in the Geometric Theory of Linear Systems PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692354
Category : Mathematics
Languages : en
Pages : 316

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Topics in the Geometric Theory of Linear Systems

Topics in the Geometric Theory of Linear Systems PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692354
Category : Mathematics
Languages : en
Pages : 316

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Book Description


Fundamentals of Linear State Space Systems

Fundamentals of Linear State Space Systems PDF Author: John S. Bay
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 600

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Book Description
Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced undergraduate course in any field of engineering. State space methods are derived from first principles while drawing on the students' previous understanding of physical and mathematical concepts. The text requires only a knowledge of basic signals and systems theory, but takes the student, in a single semester, all the way through state feedback, observers, Kalman filters, and elementary I.Q.G. control.

Interdisciplinary Mathematics: Topics in the geometric theory of linear systems

Interdisciplinary Mathematics: Topics in the geometric theory of linear systems PDF Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 320

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Methods of Algebraic Geometry in Control Theory: Part I

Methods of Algebraic Geometry in Control Theory: Part I PDF Author: Peter Falb
Publisher: Springer
ISBN: 3319980262
Category : Mathematics
Languages : en
Pages : 211

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Book Description
"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 topology and 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

Control Theory for Linear Systems

Control Theory for Linear Systems PDF Author: Harry L. Trentelman
Publisher: Springer Science & Business Media
ISBN: 1447103394
Category : Technology & Engineering
Languages : en
Pages : 393

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Book Description
Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems

Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems PDF Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 376

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Book Description


Geometric Theory of Semilinear Parabolic Equations

Geometric Theory of Semilinear Parabolic Equations PDF Author: Daniel Henry
Publisher: Springer
ISBN: 3540385282
Category : Mathematics
Languages : en
Pages : 353

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Book Description


Linear Systems Theory & Introductory Algebraic Geometry

Linear Systems Theory & Introductory Algebraic Geometry PDF Author: Róbert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692071
Category : Mathematics
Languages : en
Pages : 282

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Book Description


Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory PDF Author: Christiaan Heij
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169

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Book Description
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.

Geometric Computing Science

Geometric Computing Science PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692415
Category : Mathematics
Languages : en
Pages : 414

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Book Description