526 Pages
by
CRC Press
528 Pages
by
Routledge
Also available as eBook on:
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:
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?
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.
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
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
Biography
Szidarovszky, Ferenc
"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.