[request_ebook] Linear System Theory (2nd Edition), Wilson Rugh

Description

Linear System Theory (2nd Edition)
By Wilson J. Rugh

• Publisher:   Prentice Hall
• Number Of Pages:   581
• Publication Date:   1995-08-13
• ISBN-10 / ASIN:   0134412052
• ISBN-13 / EAN:   9780134412054

Product Description:

Appropriate for beginning graduate level courses on linear systems, graduate courses introducing linear control, and for self-study.The basic theory of linear systems is developed in a unified, accessible, and careful manner, with parallel, independent treatment of continuous-time and discrete-time linear systems. Modest mathematical background is assumed, and the technical presentation is explicit and step-by-step. There are many examples to help the reader, and carefully chosen exercises. Includes extensive, annotated citations. The presentation has been repeatedly class tested and refined.

Amazon.com Review:

Intended for use in a second course in linear systems theory, this text carefully and rigorously develops core material in the theory of time-varying linear systems. Assuming that you have a modest background in linear and matrix algebra, Laplace and z-transforms, and elementary differential equations, you'll find the presentation to be relatively self-contained. (Although a prior course in signals and systems would be helpful, it is not required.) The text develops continuous-time and discrete-time concepts and methodologies independently and in parallel. The frequent specialization to the time-invariant case allows the author to maximize clarity and accessibility of the theory while avoiding unenlightening technicalities. The text also presents material that is more often found in introductory control systems courses (e.g., controllability and observability, Lyapunov stability, and linear feedback and state observation). Of particular note are the chapters on geometric theory and applications, which give interpretation and insight into key systems' theoretical ideas and results. The text also offers over 400 exercises of varying difficulty as an aid to the reader. Overall, this is an excellent text for graduate or advanced undergraduate students as well as a superb reference source.

Summary: Very Poor choice for Beginners or Intermediates
Rating: 1

I got the book for a course I was taking in my masters program. I had taken one Linear Systems course in my undergraduate. While I bought the book new, it didn't make it through HALF of the semester before the binding broke and pages fell out. The book omits many useful proofs, and if it doesn't omit the proof, it expects you to figure out on your own with very little prompting. It does have some useful examples but assumes the reader has a VERY broad and deep understanding about linear algebra and calculus. It's very high level and often difficult to follow.

Summary: Good book on linear systems theory
Rating: 4

This is an authoritative book on linear systems theory, containing a good blend of state space methods, transfer matrix methods, and geometric theory. It is not necessarily an easy read, but it is thorough. As an example, many linear systems theory books "cheat" when presenting the solution of linear time invariant system: they assume that the structure of the solution is already known, e.g. that the solution is of the form x(t) = exp(At)*z(t) where z(t) is then shown to have the desired form. In Rugh's book, instead, few assumptions of prior knowledge are used. This necessarily makes the proof more demanding, but also leads to a more realistic problem -- for students who want to really understand how to develop new results.

There are other valuable -- and simpler books. E.g. Chen's book in its third edition is very nice wrt. relating the various methods of analysis with standard linear algebra methods such as QR decomposition, etc.

Summary: Really terrible book, not suitable for text.
Rating: 1

This is really a terrible book on system theory. It can never point out the essencial points of the theory. Rather, the auther uses a lot of mathematics to make the book a nightmare. One can never easily get the idea. There is nothing but matrices. Well, those matrix techniques are not so difficult in the viewpoint of mathematics,except, complicated sometimes.

This one may be okay to look at when you are fairly familiar with the linear system theory but definitely it is not suitable for a textbook. Unfortunately, our school chose it as our text.

Summary: Whatever...
Rating: 1

Kailath's System Theory essentially rejected Chen's Linear System Theory for its undue emphasis on computation of the matrix exp. and other crimes. Kailath in turn beat realization theory to death, and is now rejected by Rugh. Well, this is but a better organized rewrite and update of Brockett's 1969 book. While that was easy to learn from, this one is not. In fact no current text on system theory is easy to learn from, save Luenberger's which is too watered down anyway. The student is as usuall left to his own devices. Good luck.

 

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