Linear Systems Theory, Second Edition

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.

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.

Booknews

A mathematically rigorous text for first-year graduate students in engineering, economics, social sciences, or mathematics. All developments are based on precise mathematical arguments, many being innovative and original. The prerequisites are only the fundamentals of calculus and matrix algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)

"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 methodStability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stabilityControllabilityObservabilityCanonical formsSystem realizations and minimal realizations, including state space approach and transfer function realizationsSystem designKalman filtersNonnegative systemsAdaptive controlNeural networksThe 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 studiesExpanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapterIllustrative examples in all the chaptersAn introduction and analysis of new stability conceptsAn expanded chapter on neural networks, analyzing advances that have occurred in that field since the first editionAlthough 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."--Provided by publisher "Linear Systems Theory", second edition is a comprehensive text that presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more. Intended to be more mainstream than its predecessor, this revision does maintains the rigorous mathematical approach of the first edition. Many of the longer case studies will be replaced with numerical examples drawn mainly from electrical and mechanical engineering applications. Expanded explanations of both linear and nonlinear systems and new problem sets at the end of each chapter are included in the Second Edition. The chapter on neural networks has been expanded to include the many advances that have occurred in that system since the publication of the previous edition.-- Presents new examples and problems featuring EE/ME applications-- Is self-contained for reference use-- Suitable for cross-disciplined courses in systems theory-- Focuses on computer-oriented techniques Content: Preface. Introduction. Mathematical Background. Mathematics of Dynamic Processes. Characterization of Linear and Nonlinear Systems. Stability Analysis. Controllability. Observability. Canonical Forms. Realizability. Estimation and Design. Advanced Topics. References. Appendix. Index. Catalog no. 8013 1992, 448 pp., ISBN: 0-8493-8013-8 U.S. $59.95/Outside U.S. $72.00 Presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms. This book discusses nonlinear and linear systems in the state space from and through the transfer function method; and stability, including marginal stability, asymptotical stability and global asymptotical stability. This chapter provides the foundation for understanding the mathematical details to be discussed in later chapters of this book.