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ANALYSIS OF TIME VARYING SYSTEMS USING TIME VARYING S-TRANSFORMS AND TIME VARYING Z-TRANSFORMS
GARCIA ITURRICHA Aitor, SABATIER Jocelyn, OUSTALOUP Alain
LAP - ENSEIRB - Université Bordeaux 1 - Equipe CRONE û UMR 5131 CNRS
351, Cours de la Libération, 33405 Talence, France
Tel : +33 (0)556 846 607 Fax : +33 (0)556 846 644
sabatier@lap.u-bordeaux.fr www.lap.u-bordeaux.fr
This paper deals with the analysis of continuous and discrete time varying systems using two unusual representations. These representations, based on time varying s-transform and time-varying z-transform notions, prove to be highly efficient in the field of automatic control. They also permit the extension of many well known theorems to time varying systems such as the initial and final value theorems.
Keywords: Time varying systems, time varying s-transform, time varying z-transform, final and initial value theorems
Session slot T-Tu-E18: Time-varying systems and factorization/Area code 2b : Linear Systems
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