Linear Operators and Linear Systems: An Analytical Approach to Control Theory
(Part of the London Mathematical Society Student Texts Series)
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Book Overview
Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.
Format:Paperback
Language:English
ISBN:0521546192
ISBN13:9780521546195
Release Date:March 2004
Publisher:Cambridge University Press
Length:178 Pages
Weight:0.55 lbs.
Dimensions:0.4" x 6.3" x 9.0"
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