Linear Operators and Linear Systems

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Linear Operators and Linear Systems

By Jonathan R. Partington

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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.

Subject: Mathematics & Statistics -> Post-Calculus -> Abstract Algebra

Linear Operators and Linear Systems
An Analytical Approach to Control Theory
1st edition
Publisher: Cambridge University Press 3/15/04
Imprint: Cambridge University Press
Language: English

ISBN 10: 0511189834
ISBN 13: 9780511189838
Print ISBN: 9780521837347

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