Linear State/Signal Systems (Encyclopedia of Mathematics and its Applications, Series Number 183)

By (author)Damir Z. Arov Olof J. Staffans

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Details

Publisher ‏ : ‎ Cambridge University Press; New edition (May 26, 2022)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 1080 pages
ISBN-10 ‏ : ‎ 1316519678
ISBN-13 ‏ : ‎ 978-1316519677
Item Weight ‏ : ‎ 4.14 pounds
Dimensions ‏ : ‎ 7 x 2.5 x 9.75 inches

Best Sellers Rank: #10,103,845 in Books (See Top 100 in Books)
- #46,618 in Mathematics (Books)

The authors explain in this work a new approach to observing and controlling linear systems whose inputs and outputs are not fixed in advance. They cover a class of linear time-invariant state/signal system that is general enough to include most of the standard classes of linear time-invariant dynamical systems, but simple enough that it is easy to understand the fundamental principles. They begin by explaining the basic theory of finite-dimensional and bounded systems in a way suitable for graduate courses in systems theory and control. They then proceed to the more advanced infinite-dimensional setting, opening up new ways for researchers to study distributed parameter systems, including linear port-Hamiltonian systems and boundary triplets. They include the general non-passive part of the theory in continuous and discrete time, and provide a short introduction to the passive situation. Numerous examples from circuit theory are used to illustrate the theory.

Title :Linear State/Signal Systems (Encyclopedia of Mathematics and its Applications, Series Number 183)

Author :Damir Z. Arov Olof J. Staffans