Linear operators and linear systems :
Partington, Jonathan R. 1955-
Linear operators and linear systems : an analytical approach to control theory / Linear Operators & Linear Systems Jonathan R. Partington. - Cambridge : Cambridge University Press, 2004. - 1 online resource (ix, 166 pages) : digital, PDF file(s). - London Mathematical Society student texts ; 60 . - London Mathematical Society student texts ; 60. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511616693 (ebook)
Linear operators.
Linear systems.
QA329.2 / .P37 2004
515/.7246
Linear operators and linear systems : an analytical approach to control theory / Linear Operators & Linear Systems Jonathan R. Partington. - Cambridge : Cambridge University Press, 2004. - 1 online resource (ix, 166 pages) : digital, PDF file(s). - London Mathematical Society student texts ; 60 . - London Mathematical Society student texts ; 60. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511616693 (ebook)
Linear operators.
Linear systems.
QA329.2 / .P37 2004
515/.7246