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

页码：1299 / 1314

页数：16

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