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The state‐space realization of linear systems is of utmost importance in linear systems theory. After the realization problem for the time‐invariant case was solved, particular attention was paid to the case of linear periodic systems. Recently, such systems have regained importance, for instance, in the context of coding theory where periodic convolutional encoders play an important role. The majority...
In this paper we consider 2D single-input/singleoutput behaviors described by linear partial difference equations with (2,2)-periodically varying coefficients, and present a method to obtain 2D Roesser state-space representations (or realizations) for such behaviors. Since these cannot be obtained by separately realizing each shiftinvariant system resulting from “freezing” the varying coefficients,...
The aim of this paper is to obtain periodic state space representations for periodic input-output behavioral systems using a lifting technique which allows to associate a time-invariant behavior to a periodic one. Our approach differs from the classical one since we do not start from a transfer function description but rather from linear difference equations with periodically time-varying coefficients.
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