Linear Systems Theory
Author: Visit ‘s João P. Hespanha Page ID: 0691140219
Review
“This is a splendidly written textbook; in fact, the next time I teach linear systems theory, I intend to use it. It covers the right amount of theory and presents the material at a perfect level for students. It has many exercises, most of which are well suited for beginning engineering graduate students.”–Alan J. Laub, Elements of Computation Theory
From the Back Cover
“Linear Systems Theory gives a good presentation of the main topics on linear systems as well as more advanced topics related to controller design. The scholarship is sound and the book is very well written and readable.”–Ian Petersen, University of New South Wales
“This book provides a sound basis for an excellent course on linear systems theory. It covers a breadth of material in a fast-paced and mathematically focused way. It can be used by students wishing to specialize in this subject, as well as by those interested in this topic generally.”–Geir E. Dullerud, University of Illinois, Urbana-Champaign
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Hardcover: 280 pagesPublisher: Princeton University Press (September 13, 2009)Language: EnglishISBN-10: 0691140219ISBN-13: 978-0691140216 Product Dimensions: 10 x 8.1 x 0.9 inches Shipping Weight: 1.8 pounds (View shipping rates and policies) Best Sellers Rank: #178,459 in Books (See Top 100 in Books) #41 in Books > Science & Math > Physics > System Theory #45 in Books > Science & Math > Mathematics > Applied > Differential Equations #694 in Books > Engineering & Transportation > Engineering > Electrical & Electronics
This collection of lecture notes organized as a textbook is perhaps the ideal textbook for teaching a course in linear systems. Although it is short on exercises, I don’t think that this affects the text. There are several other textbooks with plenty of exercises to apply the concepts covered in this book. The highlights are:
– Each chapter is very well organized, uncluttered, and the notation is clean and clear. The result is a balance of depth and clarity that is difficult to find in other texts.
– All the results are stated for continuous and discrete time, in parallel, in a clear way. Except for the last section which covers optimal control, here, only continuous time is considered.
– The author uses the side margin to introduce results from mathematics and logic that are crucial for the theory that is being discussed. For example, if a proof uses the contrapositive argument, the author includes an explanation of the logical tool on the margin. If a result from linear algebra is needed, it is introduced in the margin too. In this way, the material presented on the margins seems to ‘predict’ questions that come up in the reader’s mind.
– Matlab exercises and commands are integrated into the discussion, yet it doesn’t get in the way of the theory.
In summary, I think that this is a great textbook and I would like to see it become a standard for learning linear systems theory.
This is an excellent book for learning linear systems associated with Modern Control Theory, i.e. state-space control systems. It does not have many examples, and has no review section, but it explains clearly and concisely the mathematical form for finding solutions and provides some good MATLAB examples for which to implement them. A bit too rigorous for an undergraduate course, but an excellent selection for a graduate student looking to learn about the topic.
This book is more a set of lecture notes than a book. It is extremely useful when one has to refresh concepts just before an exam. A major drawback is the lack of exercises and examples. The price of the book works in its favor!
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