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Saturday, July 18, 2020 | History

1 edition of Linear System Theory found in the catalog.

Linear System Theory

by Frank M. Callier

  • 273 Want to read
  • 31 Currently reading

Published by Springer New York in New York, NY .
Written in English

    Subjects:
  • Computer engineering,
  • Mathematical optimization,
  • Engineering mathematics,
  • Engineering,
  • Systems theory

  • About the Edition

    This volume is intended for engineers in research and development and applied mathematicians. It is also designed to be a useful reference for graduate students in linear systems with interests in control. With this purpose in mind, the discrete-time case is treated in an isomorphic fashion with the continuous-time case. This volume is self-contained: four mathematical appendices develop the many specialized mathematical results needed in the main text. In the development of Linear System Theory emphasis is placed on careful and precise exposition of fundamental concepts and results. The main topics of Linear System Theory are treated systematically: the dynamics of linear time-varying and time-invariant systems; stability; controllability and observability; realizations; linear feedback and estimation; linear quadratic optimal control; finally, the last chapter develops the main results of unity-feedback MIMO systems. At various suitable places basic computational issues and robustness issues are discussed.

    Edition Notes

    Statementby Frank M. Callier, Charles A. Desoer
    SeriesSpringer Texts in Electrical Engineering, Springer texts in electrical engineering
    ContributionsDesoer, Charles A.
    Classifications
    LC ClassificationsTK1-9971
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (xiv, 509 p.)
    Number of Pages509
    ID Numbers
    Open LibraryOL27071327M
    ISBN 10146126961X, 1461209579
    ISBN 109781461269618, 9781461209577
    OCLC/WorldCa853262002

    As stated in the preface, the purpose of this book is “to provide a systematic and rigorous access to a) the main topics of linear state-space system theory in both the continuous-time case and the discrete time case, and b) the I/O description of linear systems.” After an introductory chapter, three chapters are devoted to a detailed. Contr ol theory S. Simr oc k DESY,Hamb urg, German y Abstract In engineering and mathematics, control theory deals with the beha viour of dynamical systems. The desired output of a system is called the reference. When one or more File Size: 1MB.

    Linear Systems Theory - CRC Press Book This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and Systems Theory discusses:Nonlinear and linear systems in the state space form and through the transfer function methodStab. LINEAR SYSTEMS THEORY, 2nd Edition. Joao Hespanha Summary. Linear syst ems theory is the cornerstone of control theory and a prerequisite for essentially all graduate courses in this area. It is a well-established discipline that focuses on linear differential equations from the perspective of control and estimation.

    Linear Matrix Inequalities in System and Control Theory: Linear Matrix Inequalities in System and Control Theory Stephen Boyd, Laurent El Ghaoui, Eric Feron, and V. Balakrishnan Volume 15 of Studies in Applied Mathematics Society for Industrial and Applied Mathematics (SIAM), This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature.


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Linear System Theory by Frank M. Callier Download PDF EPUB FB2

Theory and Design with Applications. Author: Guoxiang Gu; Publisher: Springer Science & Business Media ISBN: Category: Technology & Engineering Page: View: DOWNLOAD NOW» Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its.

Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation.

This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for /5(4). Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation.

In this textbook, João Hespanha covers the key topics of the field in a unique lecture-style format, making the book easy to use for instructors and by: Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation.

This updated second edition of Linear Systems Theory covers the subject’s key topics in a unique lecture-style format, making the book easy to use for. A linear system is a mathematical model of a system based on the use of a linear systems typically exhibit features and properties that are much simpler than the nonlinear case.

As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. Boyd, L. Ghaoui, E. Feron, and V. Balakishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, ISBN X ().

ISBN: OCLC Number: Description: xv, pages: illustrations ; 25 cm. Contents: Chapter Dependence Chart Mathematical Notation and Review State Equation Representation State Equation Solution Transition Matrix Properties Two Important Cases Internal Stability Lyapunov Stability Criteria Additional.

Equation () is a system of linear, first order, differential equations with input u, state xand output y. We now show that this system is a linear input/output system, in the sense described above. Proposition The differential equation () is a linear input/output system.

Size: KB. Linear system theory and design, by Chi-Tsong Chen. book is given in Chapter 1 and linear algebra, the. basic mathematics needed to master this book, is. treated in Chapter 3.

The Theory of Linear Systems presents the state-phase analysis of linear systems. This book deals with the transform theory of linear systems, which had most of its success when applied to time-invariant systems.

Organized into nine chapters, this book begins with an overview of the development of some properties of simple differential systems. This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers.

The contents of the book bear the strong influence of. The basic problem of linear algebra is to solve a system of linear equations. A linear equation in the n variables—or unknowns— x 1, x 2,and x n is an equation of the form.

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the system is called memoryless. Note. The rationale When all the matrices A(t), B(t), C(t), D(t) are constant ∀t ≥ 0, the system () behind this terminology is explained in Lecture 3. is called a Linear Time-Invariant (LTI) system. In the general case, () is called a Linear Time-Varying (LTV) system to emphasize that time invariance File Size: KB.

"Linear System Theory, Second Edition," outlines the basic theory of linear systems in a unified, accessible, and careful manner, with parallel, independent treatment of continuous-time and discrete-time linear systems.4/5(1).

This book originates from several editions of lecture notes that were used as teach-ing material for the course ‘Control Theory for Linear Systems’, given within the framework of the national Dutch graduate school of systems and control, in the pe-riod from to The aim of this course is to provide an extensive treatment.

Linear System Theory In this course, we will be dealing primarily with linear systems, a special class of sys-tems for which a great deal is known. During the first half of the twentieth century, linear systems were analyzed using frequency domain (e.g., Laplace and z-transform)File Size: KB.

Theory and Applications. Author: Lorenzo Farina,Sergio Rinaldi; Publisher: John Wiley & Sons ISBN: X Category: Mathematics Page: View: DOWNLOAD NOW» A complete study on an important class of linear dynamicalsystems-positive linear systems One of the most often-encountered systems in nearly all areas ofscience and technology, positive.

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After introducing the fundamental properties of linear systems, the text discusses design using state equations and transfer functions.52 3 Methods of linear control theory Linear systems Many systems of interest are either linear, or correspond to the linearization of a nonlinear system, such as Eq.

(), about a fixed point or periodic orbit. The most complete theory of control applies to linear systems. Consider the following state-space system: d dt a = Aa+Bb (a File Size: KB.