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Title: On the state-space realization of 2-periodic image behaviors
Author: Napp, Diego
Pereira, Ricardo
Pinto, Raquel
Rocha, Paula
Aleixo, José Carlos
Keywords: Behavioral systems
Periodically time-varying systems
State-space representations
Issue Date: Jun-2018
Abstract: 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.
Peer review: yes
DOI: 10.1109/CONTROLO.2018.8516410
Appears in Collections:CIDMA - Comunicações
SCG - Comunicações

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