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 Stability of quaternionic linear systems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/8448

title: Stability of quaternionic linear systems
authors: Pereira, Ricardo
Vettori, Paolo
keywords: stability
quaternions
Behaviors
issue date: 2006
publisher: IEEE
abstract: The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility and coprimeness are investigated. Having established these results, the Smith and the Smith-McMillan forms of quaternionic matrices are introduced and studied. Finally, all the tools that were developed are used to analyze stability of quaternionic linear systems in a behavioral framework.
URI: http://hdl.handle.net/10773/8448
ISSN: 0018-9286
publisher version/DOI: http://dx.doi.org/10.1109/TAC.2005.864202
source: IEEE Transactions on Automatic Control
appears in collectionsCIDMA - Artigos

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