Linear Systems

This postgraduate introduction to systems theory emphasizes control theory, and provides a clear picture of the dynamic behaviour of linear systems and their advantages/limitations. Previous knowledge required is kept to a minimum, namely ordinary differential equations and linear algebra. Topics include: time-varying, time invariant, continuous-time, and discrete-time linear systems; stability; polynomial fractional representation; and parameterization of all feedback stabilizing controllers.

From the reviews:

"There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook! ...The authors have used their mastery of the subject to produce a textbook that very effectively presents the theory of linear systems as it has evolved over the last thirty years. The result is a comprehensive, complete and clear exposition that serves as an excellent foundation for more advanced topics in system theory and control."―IEEE Transactions on Automatic Control

"In assessing the present book as a potential textbook for our first graduate linear systems course, I find...[that] Antsaklis and Michel have contributed an expertly written and high quality textbook to the field and are to be congratulated.... Because of its mathematical sophistication and completeness the present book is highly recommended for use, both as a textbook as well as a reference."―Automatica

"As the title indicates, the emphasis is on linear systems.... Coverage of the material on polynomial matrix descriptions is omitted in many linear systems courses, but its inclusion in the present book is a positive feature. Strong features of the book are: the mathematical details are carefully developed, while providing engineering general motivation for the development [of the theory]; numerous historical notes are provided, there are numerous end of chapter exercises, and there is a useful appendix on numerical considerations.... In summary, it is good to have this new version of the book by Antsaklis and Michel as an available part of the literature that treats fundamental mathematical aspects of linear systems. It should be a strong contender as a textbook for first year graduate engineering courses on linear systems and it should serve as a valuable reference on linear systems for a wide audience.―Mathematical Reviews

"There exist many good books on linear systems.... Among them the book by P.J. Antsaklis and A.M. Michel occupies a special place. It is an interesting and original introduction to modern control systems theory. It contains also many interesting problems from advanced systems theory. According to the authors the primary aim of the book is...‘to provide an understanding of these fundamentals by emphasizing mathematical descriptions of systems and their properties. Our goal was to clearly present the fundamental concepts of system theory in a self-contained text.’ The goal was reached and performed by the authors in an excellent way....

At the end of each chapter basic references are given and many interesting examples are included to clarify the material of the chapter. The exercises introduce additional concepts and results giving additional insight [into] the material. This is an interesting, original, and excellent textbook. It can be recommended for first-year graduate students and advanced undergraduates in electrical engineering, electronics, and mechatronics who are interested in control system and signal processing."―Control and Cybernetics

"As the title indicates, the emphasis is on linear systems. The book is intended as a textbook for first year graduate students in engineering, but it should be of interest as a reference to a wider audience. ... In fact, most course instructors are likely to appreciate the emphasis on the mathematical aspects of linear systems. In summary, it is good to have this new version of the book ... . it should serve as a valuable reference on linear systems for a wide audience." (N. Harris McClamroch, MathSciNet, Issue 2006 k)

"The book ... aiming to provide a textbook for first-year graduate and senior undergraduate students. ... Numerous examples are given to illustrate the concepts and techniques covered in the book. ... This book is an excellent addition to existing textbooks on linear systems theory. ... The book is clearly written, and its presentation is transparent and smooth. It is an excellent textbook for a one-semester first-year graduate-level course on linear systems theory. ... The book is also a useful reference for researchers and engineering practitioners." (Lihua Xie, IEEE Control Systems Magazine, August, 2009)