Riesz basis property and stability of planar networks of controlled strings (Q970462)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Riesz basis property and stability of planar networks of controlled strings |
scientific article; zbMATH DE number 5709102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riesz basis property and stability of planar networks of controlled strings |
scientific article; zbMATH DE number 5709102 |
Statements
Riesz basis property and stability of planar networks of controlled strings (English)
0 references
19 May 2010
0 references
The paper studies the basis property of root vectors of star-shaped networks of strings whose exterior ends are clamped and common node has a damping. The main operator determined by the network is non-normal. By the asymptotic technique, it is shown that its spectrum is in a strip parallel to the imaginary axis, and there is a sequence of root vectors (generalized eigenvectors and eigenvectors) that forms a Riesz basis for the Hilbert state space. As an application of this result, the stability of the system is discussed.
0 references
star-shaped network
0 references
spectrum
0 references
root vector
0 references
Riesz basis
0 references
stability
0 references
0 references
0 references
0 references
0 references
