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On the state-space realization of 2-periodic image behaviors
Publication . Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, Paula; Aleixo, José
In this paper we study the realization of periodically time-varying behavioral systems by means of periodic state-space models. In particular, we focus on the case of period two and investigate under which conditions a given behavior with periodic representation obtained by alternating two time-invariant image representations can be realized by a periodic state-space system. We first show that, in general, one cannot expect to obtain a periodic state-space realization by means of the individual realizations of each associated time-invariant behaviors. However, we give conditions for such procedure to hold. The presented results are illustrated by examples.
On the state space realization of 2D (2,2)-periodic image behaviors
Publication . Aleixo, José; Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, Paula
In this paper we consider 2D behaviors with periodic image representations and provide conditions under which a simple method for obtaining state space realizations by means of 2D periodic (separable) Roesser models can be applied. For the sake of simplicity we restrict our attention to the (2; 2)-periodic case.
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Fundação para a Ciência e a Tecnologia
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5876
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UID/EEA/00147/2013