Stability of quaternionic linear systems

• Author(s): Pereira, Ricardo ; Vettori, Paolo
• Date: 2006
• Persistent ID: http://hdl.handle.net/10773/8448
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): stability; quaternions; Behaviors
• Document Type: Article
• Language: English

Description

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.