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Kybernetika 38(5):617-629, 2002.

Time-Domain and Parametric L2-Properties Corresponding to Popov Inequality.

Mihail Voicu and Octavian Pastravanu


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.


AMS: 93D;


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BIB TeX

@article{kyb:2002:5:617-629,

author = {Voicu, Mihail and Pastravanu, Octavian},

title = {Time-Domain and Parametric $L^2$-Properties Corresponding to Popov Inequality.},

journal = {Kybernetika},

volume = {38},

year = {2002},

number = {5},

pages = {617-629}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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