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On the determinant of quaternionic polynomial matrices and its application to system stability
Author(s) -
Pereira Ricardo,
Rocha Paula
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.901
Subject(s) - mathematics , polynomial , constant (computer programming) , stability (learning theory) , quaternion , pure mathematics , linear system , algebra over a field , mathematical analysis , geometry , computer science , machine learning , programming language
In this paper, we propose a definition of determinant for quaternionic polynomial matrices inspired by the well‐known Dieudonné 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 © 2007 John Wiley & Sons, Ltd.