Stability of quaternionic linear systems

• Autor(es): Pereira, Ricardo ; Vettori, Paolo
• Data: 2006
• Identificador Persistente: http://hdl.handle.net/10773/8448
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): stability; quaternions; Behaviors
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.