Linear Operators and Linear Systems

Erscheinungsjahr 2015
ISBN: 978-0-521-83734-7
Verlag: Cambridge University Press

Buch, Englisch, Band 60, 178 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 417 g

Reihe: London Mathematical Society Student Texts

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.

Autoren/Hrsg.

Partington, Jonathan R.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1. Operators and Hardy spaces; 2. Closed operators; 3. Shift-invariance and causality; 4. Stability and stabilization; 5. Spaces of persistent signals; 6. Delay systems.

Über Autor(innen)

Partington, Jonathan R.
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.