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

Dan Chen, Michal Feckan, JinRong Wang

  • 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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