Algebraic tools for the study of quaternionic behavioral systems

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Pereira, R. (Author) Other; Rocha, P. (Author) FEUP; Vettori, P. (Author) Other

Journal

Title: Linear Algebra and Its Applications

Vol. 400

Pages: 121-140

ISSN: 0024-3795

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 18 Citations

Scopus - 25 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-3P4

DOI: 10.1016/j.laa.2005.01.008

Abstract (EN): In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20