Symmetries of 2D Discrete-Time Linear Systems

• Type: Chapter or Part of a Book
• Date: 2005

Authors

Paula Rocha (Author) FEUP; Paolo Vettori (Author) Other; Jan C. Willems (Author) Other

Book

Title: Recent Advances in Operator Theory and its Applications

Pages: 367-382

ISBN: 978-3-7643-7398-6

Publisher: Birkhäuser

Indexing

ISI Proceedings

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

DOI: 10.1007/3-7643-7398-9_18

Abstract (EN): Static symmetries of linear shift invariant 1D systems had been thoroughly investigated, and the resulting theory is now a well-established topic. Nevertheless, only partial results were available for the multidimensional case, since the extension of the theory for 1D systems proved not to be straightforward, as usual. Actually, a non trivial regularity assumption and also restrictions on the set of allowed symmetries had to be imposed. In this paper we show how it is possible to overcome these difficulties using a particular canonical form for 2D discrete linear systems.

Language: English

Type (Professor's evaluation): Scientific