Linear Systems Theory  book cover
2nd Edition

Linear Systems Theory

ISBN 9780849316876
Published November 25, 1997 by CRC Press
526 Pages

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Book Description

This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more.
Linear Systems Theory discusses:

  • Nonlinear and linear systems in the state space form and through the transfer function method
  • Stability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stability
  • Controllability
  • Observability
  • Canonical forms
  • System realizations and minimal realizations, including state space approach and transfer function realizations
  • System design
  • Kalman filters
  • Nonnegative systems
  • Adaptive control
  • Neural networks
    The book focuses mainly on applications in electrical engineering, but it provides examples for most branches of engineering, economics, and social sciences.
    What's New in the Second Edition?
  • Case studies drawn mainly from electrical and mechanical engineering applications, replacing many of the longer case studies
  • Expanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapter
  • Illustrative examples in all the chapters
  • An introduction and analysis of new stability concepts
  • An expanded chapter on neural networks, analyzing advances that have occurred in that field since the first edition
    Although more mainstream than its predecessor, this revision maintains the rigorous mathematical approach of the first edition, providing fast, efficient development of the material.
    Linear Systems Theory enables its reader to develop his or her capabilities for modeling dynamic phenomena, examining their properties, and applying them to real-life situations.
  • Table of Contents

    Mathematical Background
    Metric Spaces and Contraction Mapping Theory
    Vectors and Matrices
    Mathematics of Dynamic Processes
    Solution of Ordinary Differential Equations
    Solution of Difference Equations
    Characterization of Systems
    The Concept of Dynamic Systems
    Equilibrium and Linearization
    Continuous Linear Systems
    Discrete Systems
    Stability Analysis
    The Elements of the Lyapunov Stability Theory
    BIBO Stability
    Continuous Systems
    Discrete Systems
    Continuous Systems
    Discrete Systems
    Canonical Forms
    Diagonal and Jordan Forms
    Controllability Canonical Forms
    Observability Canonical Forms
    Realizability of Weighting Patterns
    Realizability of Transfer Functions
    Estimation and Design
    The Eigenvalue Placement Theorem
    Reduced-Order Observers
    The Eigenvalue Separation Theorem
    Advanced Topics
    Nonnegative Systems
    The Kalman-Bucy Filter
    Adaptive Control Systems
    Neural Networks

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    "Szidarovszky and Bahill differentiate their work from others on systems theory as more vigorously mathematical, more broadly theoretical, and based on computer-oriented rather than graphical methods."
    -Booknews, Inc.