Linear Operators and Linear Systems: An Analytical Approach to Control Theory: 60 (London Mathematical Society Student Texts, Series Number 60) - Softcover

Partington, Jonathan R.

Softcover

ISBN 10: 0521546192 ISBN 13: 9780521546195

Publisher: Cambridge University Press, 2004

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2004
• Language: English
• ISBN 10: 0521546192
• ISBN 13: 9780521546195
• Binding: Paperback
• Number of pages: 178