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
System realizations and minimal realizations, including state space approach and transfer function realizations
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
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
The Elements of the Lyapunov Stability Theory
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
The Eigenvalue Separation Theorem
The Kalman-Bucy Filter
Adaptive Control Systems
"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."