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Investigation of Controllability and Observability for Linear Quaternion-Valued Systems from Its Complex-Valued Systems.
- Source :
- Qualitative Theory of Dynamical Systems; Sep2022, Vol. 21 Issue 3, p1-30, 30p
- Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15755460
- Volume :
- 21
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Qualitative Theory of Dynamical Systems
- Publication Type :
- Academic Journal
- Accession number :
- 156758002
- Full Text :
- https://doi.org/10.1007/s12346-022-00599-6