Name
Title | ||
|---|---|---|
An iterative identification of pole-stucture in dynamic systems based on hyperbolic metrics and Malmquist-Takenaka representation |
Abstract | ||
|---|---|---|
In a series of paper the authors proposed a new frequency-domain approach to identify poles in discrete-time linear systems. The discrete rational transfer function is represented in a rational Laguerre-basis, where the basis elements are expressed by powers of the Blaschke-function. This function can be interpreted as a congruence transform on the Poincaré unit disc model of the hyperbolic geometry. The identification of a pole is given as a hyperbolic transform of the limit of a quotient-sequence formed from the Laguerre-Fourier coefficients. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/CDC.2013.6760703 | Decision and Control |
Keywords | Field | DocType |
discrete time systems,frequency-domain analysis,geometry,identification,linear systems,pole assignment,stochastic processes,transfer functions,transforms,Blaschke-function,Laguerre-Fourier coefficients,Malmquist-Takenaka representation,Poincaré unit disc model,congruence transform,discrete rational transfer function,discrete-time linear systems,dynamic systems,frequency-domain approach,hyperbolic geometry,hyperbolic metrics,hyperbolic transform,iterative identification,pole-stucture,quotient-sequence limit,rational Laguerre-basis | Inverse hyperbolic function,Mathematical optimization,Linear system,Mathematical analysis,Control theory,Hyperbolic geometry,Transfer function,Hyperbolic function,Congruence (geometry),Dynamical system,Mathematics,Hyperbolic motion | Conference |
ISSN | ISBN | Citations |
0743-1546 | 978-1-4673-5714-2 | 2 |
PageRank | References | Authors |
0.58 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandros Soumelidis | 1 | 12 | 6.69 |
| Jozsef Bokor | 2 | 97 | 31.76 |
| F. Schipp | 3 | 42 | 11.66 |