Fundamentals of Linear State Space Systems (McGraw-Hill Series in Electrical Engineering) [Hardcover]

John S Bay (Author)

Book Description

ISBN-10: 0256246394 | ISBN-13: 978-0256246391 | Publication Date: August 1, 1998 | Edition: 1

This book addresses two primary deficiencies in the linear systems textbook market: a lack of development of state space methods from the basic principles and a lack of pedagogical focus. The book uses the geometric intuition provided by vector space analysis to develop in a very sequential manner all the essential topics in linear state system theory that a senior or beginning graduate student should know. It does this in an ordered, readable manner, with examples drawn from several areas of engineering. Because it derives state space methods from linear algebra and vector spaces and ties all the topics together with diverse applications, this book is suitable for students from any engineering discipline, not just those with control systems backgrounds and interests. It begins with the mathematical preliminaries of vectors and spaces, then emphasizes the geometric properties of linear operators. It is from this foundation that the studies of stability, controllability and observability, realizations, state feedback, observers, and Kalman filters are derived. There is a direct and simple path from one topic to the next. The book includes both discrete- and continuous-time systems, introducing them in parallel and emphasizing each in appropriate context. Time-varying systems are discussed from generality and completeness, but the emphasis is on time-invariant systems, and only in time-domain; there is no treatment of matrix fraction descriptions or polynomial matrices. Tips for using MATLAB are included in the form of margin notes, which are placed wherever topics with applicable MATLAB commands are introduced. These notes direct the reader to an appendix, where a MATLAB command reference explains command usage. However, an instructor or student who is not interested in MATLAB usage can easily skip these references without interrupting the flow of text.

Product Details

• Hardcover: 571 pages
• Publisher: McGraw-Hill Science/Engineering/Math; 1 edition (August 1, 1998)
• Language: English
• ISBN-10: 0256246394
• ISBN-13: 978-0256246391
• Product Dimensions: 9.6 x 7.6 x 1.1 inches
• Shipping Weight: 2.3 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #737,989 in Books (See Top 100 in Books)

More About the Author

Dr. John S. Bay received his Ph.D. In electrical engineering from The Ohio State University in 1988. From 1988 to 1999, he was a professor of electrical and computer engineering at Virginia Polytechnic Institute and State University (Virginia Tech). In 1999, be became an Engineering Fellow at the Raytheon Company. In 2001, he became a program manager at the Defense Advanced Research Projects Agency (DARPA), where he stayed until 2005. From 2005 until 2009, he was Chief Scientist of the Air Force Research Laboratory, Information Directorate, in Rome, NY. In 2009, he returned to industry as Sr. Vice President and Chief Scientist at Assured Information Security (AIS), where he is now leading research initiatives in cyber security and information operations. He is a Fellow of the IEEE for his contributions to embedded systems, recipient of the Office of the Secretary of Defense Medal for Exceptional Public Service, and recipient of the HKN C. Holmes MacDonald award for teaching.

Customer Reviews

Most Helpful Customer Reviews

3 of 3 people found the following review helpful:

4.0 out of 5 stars I bought this for a class but now...., October 28, 2005

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Douglas R. Isenberg (NC) - See all my reviews
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This review is from: Fundamentals of Linear State Space Systems (McGraw-Hill Series in Electrical Engineering) (Hardcover)

I constantly use this book as a reference. It has sufficient depth for a wide variety of topics and even covers the Eigensystem Realization Algorithm. Between this and the Conrad and Hitz book, I am usually able find what I need.

1 of 1 people found the following review helpful:

4.0 out of 5 stars Pedagogically Correct, August 31, 2011

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Jordan McBain "Jordan McBain" (Sudbury, ON) - See all my reviews
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This review is from: Fundamentals of Linear State Space Systems (McGraw-Hill Series in Electrical Engineering) (Hardcover)

It is an extremely difficult task to find a textbook that takes the reader from simple concepts studied in the first two years of a typical engineering/science program (Algebra, differential calculus, Laplace transforms, Fourier transforms, controls, etc.) and bridging the reader slowly into state-space concepts. This is the stated aim of this text: a pedagogically sound attempt at bridging the reader from simpler concepts to the state space. It does a reasonably good job at achieving it too. Most other texts don't even bother - and you can usually envision their authors arrogantly shoving their glasses up their nose as they were writing it ("I will not share my intuition!").

The first two thirds of the book fits this former description perfectly. The user is gently swept up into the state-space representation and presented with conceptual (graphical!) arguments as to its inner workings. It seemed evident to me that the resultant discussion on Lyapunov stability was extremely well motivated as a result of this graphical discussion; I have not much explored the concept myself but I can easily see how some authors would get carried away with formal mathematics and forget to again share simple intuition. As with all such endeavors, however, the more complicated concepts closer to the end of the book are often lost in overly mathematical minutiae with seemingly little effort made to bring intuition to the subject. This disappointed me since I was keenly hoping to walk away with a deep intuitive understanding of the mathematics behind the Kalman Filter (this may require a re-read of some chapters).

The book is reasonably well suited to self-study but is best used in a course whose instructor can help the student along. It is probably best left to the graduate student but could help out an undergraduate student whose professor's teaching technique is less than stellar.