Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Stability of One Class of Linear Periodic Systems

Author(s):

N. A. Bodunov

Saint-Petersburg Electrotechnical University "LETI",
Department of mathematics № 1,
5 Prof. Popova, Saint-Petersburg,
197376, Russia,

nick.bodunov@gmail.com

Abstract:

Linear periodic control system of special type is considered. It is assumed that transfer functions of a system have zero poles. Frequency conditions for asymptotic stability and instability of this system are obtained using Liapunov’s second method and the Yakubovitch-Kalman frequency lemma.

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