Reconstructibility of time-invariant and periodic behavioural systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

Aleixo, JC (Autor) Outra; Rocha, P (Autor) FEUP

Revista

Título: International Journal of Control

Vol. 86

Páginas: 84-94

ISSN: 0020-7179

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia electrotécnica, electrónica e informática

Outras Informações

ID Authenticus: P-002-1VK

DOI: 10.1080/00207179.2012.719636

Abstract (EN): In this article, the properties of behavioural reconstructibility and forward-observability for systems over the whole time axis Z are introduced. These properties are characterised in terms of appropriate rank conditions, for the time-invariant case. A comparison is made with the existing results in the behavioural setting as well as in the classical state space framework. In the particular case of a periodic system, it is shown that there exists an equivalence between the reconstructibility of the periodic system and its associated lifted system, which is time-invariant. Furthermore, we prove that, for a classical state space system, state reconstructibility is equivalent to behavioural reconstructibility, regardless of the time varying or time-invariant nature of the system. This allows deriving rank tests for the cases of time-invariant and of periodic systems, rediscovering the already known results for state reconstructibility from an alternative perspective. The obtained results contribute to establishing links between two different settings, thus providing a better insight into the considered systems properties.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11