Linear System Theory

by Lotfi A. Zadeh

This volume is intended for engineers in research and development and applied mathematicians. It is also designed to be a useful reference for graduate students in linear systems with interests in control. With this purpose in mind, the discrete-time case is treated in an isomorphic fashion with the continuous-time case. This volume is self-contained: four mathematical appendices develop the many specialized mathematical results needed in the main text. In the development of Linear System Theory emphasis is placed on careful and precise exposition of fundamental concepts and results.
The main topics of Linear System Theory are treated systematically: the dynamics of linear time-varying and time-invariant systems; stability; controllability and observability; realizations; linear feedback and estimation; linear quadratic optimal control; finally, the last chapter develops the main results of unity-feedback MIMO systems. At various suitable places basic computational issues and robustness issues are discussed.

Hardcover

First published July 24, 2008

Reviews

[5dd · Rating 4 out of 5]

I read the 1963 edition of Zadeh and Desoer's now-classic "Linear System Theory" which is now out of print. I haven't read this newer version, but I am writing this review under the assumption that the two books are very similar.

Zadeh and Desoer offer what I would consider an intermediate treatment of the subject. "Linear System Theory" is a good choice as a follow-on to Brogan's introductory treatment. It contains an enormous amount of very useful and very insightful information, but be warned, the reader really has to work for it. This is definitely not light reading. This is a book you read with the aid of mathematical references, a pencil and lots of scratch paper. Nonetheless, it is a text that every serious control systems engineer should own.

[Piyali Das]

contents are important