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Title: Algebraic tools for the study of quaternionic behavioral systems
Author: Pereira, Ricardo
Rocha, Paula
Vettori, Paolo
Keywords: Linear systems
Behavioral approach
Smith form
Issue Date: 2005
Publisher: Elsevier
Abstract: 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.
Peer review: yes
DOI: 10.1016/j.laa.2005.01.008
ISSN: 0024-3795
Publisher Version: 10.1016/j.laa.2005.01.008
Appears in Collections:CIDMA - Artigos

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