Linear Operators and Linear Systems: An Analytical Approach to Control Theory (Paperback)

Jonathan R. Partington

ISBN 10: 0521546192 / ISBN 13: 9780521546195

Verlag: Cambridge University Press, Cambridge, 2004

Beschreibung

Paperback. 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. This volume presents an introduction to the common ground between operator theory and linear systems theory. Pure mathematical topics are included such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be suitable for a course in functional analysis. The book also includes applications to partial differential equations, the stability and stabilization of linear systems, power signal spaces, and delay systems, treated from an input/output point of view. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Bestandsnummer des Verkäufers 9780521546195

Bibliografische Details

• Titel: Linear Operators and Linear Systems: An Analytical Approach to Control Theory (Paperback)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2004
• Sprache: Englisch
• ISBN-10: 0521546192
• ISBN-13: 9780521546195
• Einband: Paperback
• Zustand: new

Über diesen Titel

Inhaltsangabe

This book presents an introduction to the common ground between operator theory and linear systems theory.

Über die Autorin bzw. den Autor

Jonathan R. Partington is a Professor of Applied Functional Analysis at Leeds University. He has served as editor of Journal of the London Mathematical Society and is coordinator of Leeds node in European Research Training network in Analysis and Operators. Author of some 100 papers in mathematics and engineering, he is also the author of An Introduction to Hankel Operators and Interpolation, Identification and Sampling.