Name
Abstract | ||
|---|---|---|
The representation or order reduction of a rational transfer function by a linear combination of orthogonal rational functions offers several advantages, among which the possibility to work with prescribed poles and hence the guarantee of system stability. Also for multidimensional linear shift-invariant systems with infinite-extent impulse response, stability can be guaranteed a priori by the use of a multivariate Padé-type approximation technique, which is again a rational approximation technique. In both the one- and multidimensional case the choice of the moment functional with respect to which the orthogonality of the functions in use is imposed, plays a crucial role. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-78827-0_26 | Large-Scale Scientific Computing |
Keywords | Field | DocType |
linear combination,rational transfer function,crucial role,orthogonality measures,rational approximation technique,multidimensional case,multidimensional linear shift-invariant system,infinite-extent impulse response,orthogonal rational function,systems theory,type approximation technique,system stability,system theory,impulse response | Discrete mathematics,Impulse response,Elliptic rational functions,Linear combination,Mathematical optimization,Systems theory,Computer science,A priori and a posteriori,Orthogonality,Transfer function,Rational function | Conference |
Volume | ISSN | Citations |
4818 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adhemar Bultheel | 1 | 217 | 34.80 |
| Annie Cuyt | 2 | 161 | 41.48 |
| Brigitte M. Verdonk | 3 | 87 | 27.05 |