State space realization of 2-D finite-dimensional behaviours

• Type: Article in International Scientific Journal
• Date: 1993

Authors

Fornasini, E (Author) Other; Rocha, P (Author) Other; Zampieri, S (Author) Other

Journal

Title: SIAM Journal on Control and Optimization

Vol. 31

Pages: 1502-1517

ISSN: 0363-0129

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge

Scopus - 67 Citations

Other information

Authenticus ID: P-007-61J

Abstract (EN): This paper deals with the state space realization of autonomous autoregressive two-dimensional (2-D) systems in the context of the behavioural approach. An arbitrary autoregressive 2-D system ¿ can be viewed as the sum of an externally controllable subsystem ¿c with an autonomous one ¿a, so that a state space realization of ¿ can be obtained by separately realizing ¿c and ¿a. Since a procedure for realizing externally controllable systems in state/driving-variable form is already available in the literature, the general realization problem is easily reduced to the autonomous case. Here, some properties of finite-dimensional autonomous systems are discussed, allowing for a realization procedure that uses the Grobner bases theory.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16