The comprehensive nature of the book makes it an invaluable reference manual. The core curriculum of Linear Systems covers:
Advanced coverage of matrix-fraction descriptions and polynomial matrix representations. Where to Access
While single-input, single-output (SISO) systems are relatively straightforward, real-world systems—from aerospace vehicles to chemical plants—are multi-input, multi-output (MIMO). Kailath’s book remains one of the most thorough and lucid expositions on multivariable linear systems available.
If you are looking for specific influential papers by Kailath that complement his linear systems work, these are highly cited: A View of Three Decades of Linear Filtering Theory thomas kailath linear systems pdf
The book has several strengths:
The Enduring Legacy of Thomas Kailath's Linear Systems: A Guide to an Engineering Classic
Do not skip to chapter 3. Review projections, quotient spaces, and polynomial matrices. If you don’t understand "controllable subspace = Im(Co)," you will drown. The comprehensive nature of the book makes it
: Practical application of controllability.
In-depth analysis of controllability, observability, and the duality principle between the two concepts.
For MIMO systems, transfer functions become matrices of rational functions. Kailath popularized the use of Fraction Descriptions, where a transfer function matrix is represented as: Kailath’s book remains one of the most thorough
y(t)=Cx(t)+Du(t)y open paren t close paren equals cap C x open paren t close paren plus cap D u open paren t close paren Kailath explores the physical meaning of the state vector
| Method | Details | |--------|---------| | | Many engineering libraries have the physical book. Some libraries offer book scanning services (for personal use, one chapter at a time) under fair use. | | Interlibrary Loan (ILL) | If your library doesn’t have it, ILL can borrow a copy from another university. You can then scan it for personal reference. | | Pearson’s Custom Solutions | Occasionally, Pearson allows print-on-demand or custom e-chapters for classic texts. Contact their education support (rare but possible). | | Used Book + Scanner | Buy a used copy for $100, scan it yourself using a document feeder, then sell the book again. This yields a personal PDF legally. | | Stanford’s Engineering Library | Kailath’s archive at Stanford may have digital access for alumni or visitors. Check searchworks.stanford.edu . |
Understanding Thomas Kailath's Linear Systems: A Definitive Guide
Thomas Kailath’s Linear Systems is more than just a textbook; it is a historical milestone in engineering literature. Whether you are looking for a PDF to quickly cross-reference a proof on Matrix Fraction Descriptions, or seeking a deep understanding of state feedback, this book remains as relevant today as it was in 1980.
: It offers deep dives into state feedback compensator design, observer theory, and realization concepts like controllability and observability.