On the state-space realization of 2-periodic image behaviors

• Autor(a) principal: Napp, Diego
• Data de Publicação: 2018
• Outros Autores: Pereira, Ricardo, Pinto, Raquel, Rocha, Paula, Aleixo, José
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.6/9013
• topic: Behavioral systems; Periodically time-varying systems; State-space representations

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.