Reconstructibility of time-invariant and periodic behavioural systems

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Aleixo, JC (Author) Other; Rocha, P (Author) FEUP

Journal

Title: International Journal of Control

Vol. 86

Pages: 84-94

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11