Linear Operators and Linear Systems

An Analytical Approach to Control Theory

Jonathan R. Partington - Collection London Mathematical Society Student Texts

166 pages, parution le 13/05/2004

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Résumé

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.

L'auteur - Jonathan R. Partington

University of Leeds

Sommaire

Operators and Hardy spaces
Closed operators
Shift-invariance and causality
Stability and stabilization
Spaces of persistent signals
Delay systems

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Jonathan R. Partington
Collection	London Mathematical Society Student Texts
Parution	13/05/2004
Nb. de pages	166
Format	15 x 22,5
Couverture	Broché
Poids	245g
Intérieur	Noir et Blanc
EAN13	9780521546195
ISBN13	978-0-521-54619-5