Linear Systems Theory: 2nd Edition (Hardback) book cover

Linear Systems Theory

2nd Edition

By Ferenc Szidarovszky, A. Terry Bahill

CRC Press

528 pages

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Hardback: 9780849316876
pub: 1997-11-25
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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.

  • Reviews

    "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.

    Table of Contents

    Introduction

    Mathematical Background

    Introduction

    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

    Applications

    Stability Analysis

    The Elements of the Lyapunov Stability Theory

    BIBO Stability

    Applications

    Controllability

    Continuous Systems

    Discrete Systems

    Applications

    Observability

    Continuous Systems

    Discrete Systems

    Duality

    Applications

    Canonical Forms

    Diagonal and Jordan Forms

    Controllability Canonical Forms

    Observability Canonical Forms

    Applications

    Realization

    Realizability of Weighting Patterns

    Realizability of Transfer Functions

    Applications

    Estimation and Design

    The Eigenvalue Placement Theorem

    Observers

    Reduced-Order Observers

    The Eigenvalue Separation Theorem

    Applications

    Advanced Topics

    Nonnegative Systems

    The Kalman-Bucy Filter

    Adaptive Control Systems

    Neural Networks

    Bibliography

    Index

    About the Series

    Systems Engineering

    Learn more…

    Subject Categories

    BISAC Subject Codes/Headings:
    TEC007000
    TECHNOLOGY & ENGINEERING / Electrical
    TEC009000
    TECHNOLOGY & ENGINEERING / Engineering (General)