| Title:
|
Time-domain and parametric $L^2$-properties corresponding to Popov inequality (English) |
| Author:
|
Voicu, Mihail |
| Author:
|
Pastravanu, Octavian |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
5 |
| Year:
|
2002 |
| Pages:
|
[617]-629 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For Popov’s frequency-domain inequality a general solution is constructed in $L^2$, which relies on the strict positive realness of a generating function. This solution allows revealing time-domain properties, equivalent to the fulfilment of Popov’s inequality in the frequency-domain. Particular aspects occurring in the dynamics of the linear subsystem involved in Popov’s inequality are further explored for step response, as representing a usual characterization in control system analysis. It is also shown that such behavioural particularities are directly related to the BIBO stability of the linear subsystem. (English) |
| Keyword:
|
Popov’s inequality |
| Keyword:
|
BIBO stability |
| MSC:
|
93D10 |
| MSC:
|
93D25 |
| idZBL:
|
Zbl 1265.93219 |
| idMR:
|
MR1966950 |
| . |
| Date available:
|
2009-09-24T19:49:20Z |
| Last updated:
|
2015-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135491 |
| . |
| Reference:
|
[1] Doetsch G.: Funktional Transformationen.In: Mathematische Hilfsmittel des Inginieurs, Vol. I (R. Sauer, I. Szabo, eds.), Springer, Berlin 1967, pp. 232–484 MR 0221799 |
| Reference:
|
[2] Föllinger O.: Nichtlineare Regelungen.Oldenbourg, München 1993 Zbl 0487.93002 |
| Reference:
|
[3] Roïtenberg I. N.: Théorie du contrôle automatique.Publishing House Mir, Moscow 1974 Zbl 0302.93001 |
| Reference:
|
[4] Wen J. T.: Time domain and frequency domain conditions for strict positive realness.IEEE Trans. Automat. Control 33 (1988), 988–992 Zbl 0664.93013, MR 0959031, 10.1109/9.7263 |
| . |
