Controllability and Observability of Linear Quaternion-valued Systems

被引：0

作者：

Bang Xin Jiang

Yang Liu

Kit Ian Kou

Zhen Wang

机构：

[1] Zhejiang Normal University,College of Mathematics, Physics and Information Engineering

[2] University of Macau,Department of Mathematics, Faculty of Science and Technology

[3] Shandong University of Science and Technology,College of Mathematics and Systems Science

来源：

Acta Mathematica Sinica, English Series | 2020年 / 36卷

关键词：

Linear system; controllability; observability; quaternion; 34A30; 93B05; 93B07; 93C05;

D O I：

暂无

中图分类号：

学科分类号：

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：15