Investigation of Controllability and Observability for Linear Quaternion-Valued Systems from Its Complex-Valued Systems

被引：0
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作者：
Dan Chen
Michal Fečkan
JinRong Wang
机构：
[1] Guizhou University,Department of Mathematics
[2] Comenius University in Bratislava,Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics
[3] Mathematical Institute,undefined
[4] Slovak Academy of Sciences,undefined
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Quaternion-valued systems; Complex-valued systems; Controllability; Observability; Control function;
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摘要：
In this paper, we adopt a new approach to study the controllability and observability of linear quaternion-valued systems (QVS) from the point of complex-valued systems, which is much different from the method used in the previous paper. We show the equivalence relation of complete controllability for linear QVS and its complex-valued system. Then we establish two effective criteria for controllability and observability of the linear QVS in the sense of complex representation. In addition, we give a direct method to solve the control function. Finally, we use numerical examples to illustrate our theoretical results.
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