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Time-domain and parametric L 2 -properties corresponding to Popov inequality

Mihail VoicuOctavian Pastravanu — 2002

Kybernetika

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...

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