On the determinant of quaternionic polynomial matrices and its application to system stability

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Ricardo Pereira (Author) Other; Paula Rocha (Author) FEUP

Journal

Title: Mathematical Methods in the Applied Sciences

Vol. 31

Pages: 99-122

ISSN: 0170-4214

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 7 Citations

ISI Web of Science

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Mathematical analysis

Other information

Authenticus ID: P-004-22X

DOI: 10.1002/mma.901

Abstract (EN): In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases. Copyright (c) 2007 John Wiley & Sons, Ltd.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24