The purpose of this classic text is to clarify the newer State-space methods that eclipsed Frequency Domain methods before and during Apollo. At that time, State-space was purely about proofs, and only a handful of Engineers actually were using them for problem solving.
To be honest, the math of State Space, pioneered by Russians like Liapunov and Pontryagin during and after Sputnik is daunting, as it substituted ordinary and partial differential equations for transfer functions, the calculus of variations for Wiener-Hopf in optimization, and Liapunov for Bode and Nyquist in stability (although Bode is certainly still used).
Because of this, this wonderful classic text gratefully reprised by Dover is still one of the most intuitive explanations about the "practical" side of State-Space. If you're "experiencing" (read enduring) the typical Engineering career cut/sort series of systems and signals then state space courses, this book is a MUST along with the Schaum's problem/solution examples. This also is ideal for self study for folks who want to get a more intuitive and analogous approach to SS with the outstanding didactics and pedagogy of a bygone age where teachers were more concerned with us learners than strutting their mathematical prowess page after page.
There are some daunting equations (not problems and solutions), but well explained and illustrated, and numerous diagrams and graphs (especially input/output diagrams for transfer functions) are given so we "get" the underlying concepts. Today we'd call these alogrithms, data structures, UML and parse control schematics, but they work regardless of nomenclature!
For problems: Schaum's has an out of print 1970s problem guide that is outstanding, used for under $10 US, at: Schaum's Outline of Theory and Problems of State Space and Linear Systems (brown cover). The modern versions of these are included in their Signals and Systems problem books, such as: Schaum’s Outline of Signals and Systems, 3rd Edition (Schaum's Outline Series) (the link is the 3rd edition there also is a perfectly fine 2nd for less money at): Schaum's Outline of Signals and Systems, Second Edition (Schaum's Outline Series). Heck, even the oldies but goodies problem guides have problems that are still on exams today!
Highly recommended for any bright undergrad and especially EEs, MEs, math majors etc. about to "encounter" signals and systems! Also, as always with Dover, a $150 text for $20 US new-- keep these coming Dover! This is obviously not appropriate with the current state of the art in e-readers due to the slaughter of the LaTex, let alone the diagrams, but Dover makes up for that with it's "ebook pricing for a new printed book" strategy.
IMPORTANT! Like many Dovers, this has a "look inside" feature on Amazon. If you're unsure of the text's level compared to your own level of math (especially if you're a teacher or in AP HS), DO check out the look inside feature above. Confident publishers do this, and they'd also rather have you happy with your purchase. If the stuff is too advanced after you look, you can peruse a Schaums or less technical intro first, such as Albertos' very fine beginner and popular Control text: Feedback and Control for Everyone, which also is $20 US, despite being from Springer!
- Paperback: 528 pages
- Publisher: Dover Publications (24 March 2005)
- Language: English
- ISBN-10: 0486442780
- ISBN-13: 978-0486442785
- Product Dimensions: 16.5 x 2.5 x 22.9 cm
- Boxed-product Weight: 699 g
- Average Customer Review: Be the first to review this item
- Amazon Bestsellers Rank: 137,099 in Books (See Top 100 in Books)