Voicu, Mihail, and Pastravanu, Octavian. "Time-domain and parametric $L^2$-properties corresponding to Popov inequality." Kybernetika 38.5 (2002): [617]-629. <http://eudml.org/doc/33608>.
@article{Voicu2002,
abstract = {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.},
author = {Voicu, Mihail, Pastravanu, Octavian},
journal = {Kybernetika},
keywords = {Popov’s inequality; BIBO stability; Popov's inequality; BIBO stability},
language = {eng},
number = {5},
pages = {[617]-629},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Time-domain and parametric $L^2$-properties corresponding to Popov inequality},
url = {http://eudml.org/doc/33608},
volume = {38},
year = {2002},
}
TY - JOUR
AU - Voicu, Mihail
AU - Pastravanu, Octavian
TI - Time-domain and parametric $L^2$-properties corresponding to Popov inequality
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 5
SP - [617]
EP - 629
AB - 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.
LA - eng
KW - Popov’s inequality; BIBO stability; Popov's inequality; BIBO stability
UR - http://eudml.org/doc/33608
ER -
