This landmark in the development of the state space approach was written by two pioneers in the field. It chiefly concerns the technique's application to systems described by differential equations. Problems of stability and controllability receive particular attention, and connections between this approach and classical techniques are highlighted. 1963 edition.
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.