Controllability and Observability of Linear Quaternion-valued Systems

被引：0
|
作者：
Bang Xin JIANG [1 ]
Yang LIU [1 ]
Kit Ian KOU [2 ]
Zhen WANG [3 ]
机构：
[1] College of Mathematics, Physics and Information Engineering, Zhejiang Normal University
[2] Department of Mathematics, Faculty of Science and Technology,University of Macau
[3] College of Mathematics and Systems Science, Shandong University of Science and Technology
来源：
Acta Mathematica Sinica,English Series | 2020年 / 11期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要：
The aim of this paper is to define an extension of the controllability and observability for linear quaternion-valued systems(QVS). Some criteria for controllability and observability are derived,and the minimum norm control and duality theorem are also investigated. Compared with real-valued or complex-valued linear systems, it is shown that the classical Caylay–Hamilton Theorem as well as Popov–Belevitch–Hautus(PBH) type controllability and observability test do not hold for linear QVS.Hence, a modified PBH type necessary condition is studied for the controllability and observability,respectively. Finally, some examples are given to illustrate the effectiveness of the obtained results.
引用
收藏
页码：1299 / 1314
页数：16
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