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Linear Systems by Thomas Kailath
Linear Systems by Thomas Kailath
Date: 22 April 2011, 10:58

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This book is that dangerous combination of being theoretical without being rigorous. It's very deep and subtle, and it is not unusual to ponder a particular point for several weeks, as no derivation or explanation is given. Many statements are just thrown out there for the reader to figure out for himself. I have now read the book more or less from cover to cover, and that's how it has been, but I have to say, in the end it is worth it. I now truly feel that I know a lot about linear systems.
It's really not possible to read this book without having a number of other references around: linear algebra (Strang), abstract algebra (Artin), control theory (Brogan) and multivariable systems (Kaczorek) were most useful to me.
This book is excellent in that you will find results in here that you would not find anywhere else, including recent results and some developed by Kailath himself. On the other hand, frankly, the somewhat haphazard presentation style is a real impediment to understanding. In summary, this is a very good book, but you will have to work very hard to get something out of it.

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