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 Algebraic tools for the study of quaternionic behavioral systems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/8449

title: Algebraic tools for the study of quaternionic behavioral systems
authors: Pereira, Ricardo
Rocha, Paula
Vettori, Paolo
keywords: Linear systems
Quaternions
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.
URI: http://hdl.handle.net/10773/8449
ISSN: 0024-3795
publisher version/DOI: http://dx.doi.org/10.1016/j.laa.2005.01.008
source: Linear Algebra and its Applications
appears in collectionsCIDMA - Artigos

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