State/driving-variable representation of 2D systems

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Bras, I (Author) Other; Rocha, P (Author) Other

Journal

Title: Multidimensional Systems and Signal Processing

Vol. 13

Pages: 129-156

ISSN: 0923-6082

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

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

Other information

Authenticus ID: P-000-PXT

DOI: 10.1023/a:1014436609923

Abstract (EN): We characterize the discrete 2D systems with kernel representation that admit a state/driving-variable (SDV) representation. This characterization is based on the possibility of decomposing a behaviour B as the sum of its controllable part with a suitable autonomous part (controllable-autonomous decomposition). We show that B has a SDV representation if and only if it allows for a controllable-autonomous decomposition where the autonomous part is SDV representable. This means that B has a kernel representation matrix which can be decomposed as the product of two 2D L-polynomial matrices such that the left factor is factor left prime and the right factor is square and properly invertible.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28