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- Roesser model representation of 2D periodic behaviors: the (2,2)-periodic SISO casePublication . Aleixo, José; Rocha, PaulaIn 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 shift-invariant system resulting from “freezing” the varying coefficients, we propose a method based on the realization of an invariant input/output behavior obtained by suitably “lifting” the trajectories of the original periodic behavior.