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9780195117783

Linear System Theory and Design International Student Edition

by
  • ISBN13:

    9780195117783

  • ISBN10:

    0195117786

  • Edition: 3rd
  • Format: Paperback
  • Copyright: 2099-11-30
  • Publisher: Oxford University Press
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Summary

An extensive revision of the author's highly successful text, this third edition of Linear System Theory and Design has been made more accessible to students from all related backgrounds. After introducing the fundamental properties of linear systems, the text discusses design using state equations and transfer functions. In state-space design, Lyapunov equations are used extensively to design state feedback and state estimators. In the discussion of transfer-function design, pole placement, model matching, and their applications in tracking and disturbance rejection are covered. Both one-and two-degree-of-freedom configurations are used. All designs can be accomplished by solving sets of linear algebraic equations.The two main objectives of the text are to:DT use simple and efficient methods to develop results and design proceduresDT enable students to employ the results to carry out designAll results in this new edition are developed for numerical computation and illustrated using MATLAB, with an emphasis on the ideas behind the computation and interpretation of results. This book develops all theorems and results in a logical way so that readers can gain an intuitive understanding of the theorems. This revised edition begins with the time-invariant case and extends through the time-varying case. It also starts with single-input single-output design and extends to multi-input multi-output design. Striking a balance between theory and applications, Linear System Theory and Design, 3/e, is ideal for use in advanced undergraduate/first-year graduate courses in linear systems and multivariable system design in electrical, mechanical, chemical, and aeronautical engineering departments. It assumes a working knowledge of linear algebra and the Laplace transform and an elementary knowledge of differential equations.

Table of Contents

Introduction
Linear Spaces and Linear Operators
Mathematical Descriptions of Systems
Linear Dynamical Equations and Impulse-Response Matrices
Controllability and Observability of Linear Dynamical Equations
Irreducible Realizations, Strict System Equivalence, and Identification
State Feedback and State Estimators
Stability of Linear Systems
Linear-Time Invariant Composite Systems: Characterization, Stability, and Designs
Elementary Transformations
Analytic Functions of a Real Variable
Minimum Energy Control
Controllability after the Introduction of Sampling
Hermitian Forms and Singular Value Decomposition
On the Matrix Equation AM + MB = N
Polynomials and Polynomial Matrices
Poles and Zeros
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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