Wavelet series-based identification of infinite-dimensional, linear and time-invariant systems (Q2778175)
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: Wavelet series-based identification of infinite-dimensional, linear and time-invariant systems |
scientific article; zbMATH DE number 1719458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelet series-based identification of infinite-dimensional, linear and time-invariant systems |
scientific article; zbMATH DE number 1719458 |
Statements
4 November 2002
0 references
system identification
0 references
infinite-dimensional linear time-invariant system transfer function
0 references
orthonormal wavelets
0 references
Laplace transforms
0 references
Wavelet series-based identification of infinite-dimensional, linear and time-invariant systems (English)
0 references
The authors study the properties of the Laplace transforms of orthonomal wavelets. It is very interesting that the Laplace transforms are still orthonomal in the Hardy space \(H_2\). Furthermore, using the Laplace transforms of orthonomal wavelets with compact supports, they approximate the transfer function of a linear time-invariant and \(\beta\)-input-output stable system, which includes functional differential systems, linear hyperbolic systems, and linear parabolic systems. Therefore, they present a new approach to identifying an infinite-dimensional system.
0 references
