Untitled

Funder

Organizational Unit

Publications

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.

2018-06Journal article

Open access

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.

2018-07Conference object

Open access