Linear Operators and Linear Systems
Linear Operators and Linear Systems
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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.
- Presents the common ground between linear operators and linear systems in an elementary style
- Includes recent material on power signal spaces and delay systems that is not available in other books
- Of wide interest - pure mathematicians, applied mathematicians and engineers simultaneously
Reviews & endorsements
"The text is well suited for an advanced course on operator theory or mathematical system theory."
A. Bultheel, Mathematical Reviews
Product details
March 2004Hardback
9780521837347
178 pages
237 × 158 × 15 mm
0.352kg
6 b/w illus. 101 exercises
Available
Table of Contents
- 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.
