Stability of quaternionic linear systems
Stability of quaternionic linear systems
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DOI：
10.1109/tac.2005.864202
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发表时间：
2006-03
影响因子：
6.8
通讯作者：
R. Pereira;P. Vettori
中科院分区：
文献类型：
--
作者：
R. Pereira;P. Vettori
本文的主要目的是表征四元动力学系统的稳定性和有界输入-有界输出（BIBO）稳定性。在定义了四元数偏场之后，研究了四元数多项式的可整除性和互素性等代数性质。在建立了这些结果之后，引入并研究了四元数矩阵的Smith和Smith- mcmillan形式。最后，所开发的所有工具都用于在行为框架中分析四元数线性系统的稳定性。
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.