Linear Systems Theory

by Ferenc Szidarovszky

Overview

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.

Product Details

ISBN-13:	9780849316876
Publisher:	Taylor & Francis
Publication date:	11/25/1997
Series:	Systems Engineering
Edition description:	REV
Pages:	526
Product dimensions:	6.12(w) x 9.19(h) x (d)

Table of Contents

IntroductionMathematical BackgroundIntroductionMetric Spaces and Contraction Mapping TheoryVectors and MatricesMathematics of Dynamic ProcessesSolution of Ordinary Differential EquationsSolution of Difference EquationsCharacterization of SystemsThe Concept of Dynamic SystemsEquilibrium and LinearizationContinuous Linear SystemsDiscrete SystemsApplicationsStability AnalysisThe Elements of the Lyapunov Stability TheoryBIBO StabilityApplicationsControllabilityContinuous SystemsDiscrete SystemsApplicationsObservabilityContinuous SystemsDiscrete SystemsDualityApplicationsCanonical FormsDiagonal and Jordan FormsControllability Canonical FormsObservability Canonical FormsApplicationsRealizationRealizability of Weighting PatternsRealizability of Transfer FunctionsApplicationsEstimation and DesignThe Eigenvalue Placement TheoremObserversReduced-Order ObserversThe Eigenvalue Separation TheoremApplicationsAdvanced TopicsNonnegative SystemsThe Kalman-Bucy FilterAdaptive Control SystemsNeural NetworksBibliographyIndex

Editorial 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.

From the Publisher

Szidarovszky and Bahill (systems and industrial engineering, U. of Arizona, Tucson) differentiate their work from others on systems theory as more vigorously mathematical, more broadly theoretical, and based on computer-oriented rather than graphical methods. Written primarily for first-year graduate students in electrical engineering, it also may be useful to other engineering students and economics, social science, and math majors<-->as the theorems and examples encompass linear and nonlinear, continuous and discrete, and time invariant and time varying systems. Topics include: the mathematics of dynamics processes, stability analysis, controllability, observability, realization, estimation and design, and advanced topics. Annotation c. by Book News, Inc., Portland, Or.

Booknews