Stability of discrete non-unit memory linear repetitive processes - A two-dimensional systems interpretation

• Type: Article in International Scientific Journal
• Date: 1996

Authors

Rocha, P (Author) FEUP; Rogers, E (Author) Other; Owens, DH (Author) Other

Journal

Title: International Journal of Control

Vol. 63 No. 3

Pages: 457-482

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 6 Citations

Scientific classification

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

Other information

Authenticus ID: P-001-EV3

DOI: 10.1080/00207179608921852

Abstract (EN): A large class of discrete linear repetitive processes, termed discrete non-unit memory, can be interpreted as two-dimensional systems with the state-space model structure developed by Roesser. This paper shows that the criteria for stability along the pass of these repetitive processes is equivalent to BIBO stability for two-dimensional systems described by the Roesser model. The interplay of ideas between these two disciplines should greatly assist in the development of a coherent feedback control and systems theory for repetitive processes. Here, this new result is used to develop Lyapunov equations for discrete linear repetitive processes, which then yield new insight into their fundamental dynamic behaviour.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26