Abstract
The controllability and observability of a linear system are the two basic concepts of linear system, in order to judge the observability of linear system: \( \left\{ \begin{gathered} \dot{x}(t) = Ax(t) + Bu(t) \hfill \\ y(t) = Cx(t) \hfill \\ \end{gathered} \right. \), this chapter bring forward a form of matrix decomposition through primary transform, and thus come up with a new methodology of judging the observability of linear system.
This work was supported by the National Natural Science Foundation of China (11001167).
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Hom RA, Johnson CR (1991) Topics in matrix analysis [M]. The Cambridge University, New York
Wei M, Wang Q, Cheng X (2010) Some new result for system decoupling and pole assignment problems [J]. Automatica 46:937–944
Wei M, Cheng X, Wang Q (2010) A Canonical decomposition of the right invertible system with application[J]. Slam J Matrix Anal Appl 31(4):1958–1981
Zheng D (1990) The theory of linear system (M). Tsinghua University Press, Beijing, (1933.3), (Chinese)
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Cheng, X., Gao, Y. (2012). A New Methodology of Judging the Observability of the System. In: He, X., Hua, E., Lin, Y., Liu, X. (eds) Computer, Informatics, Cybernetics and Applications. Lecture Notes in Electrical Engineering, vol 107. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1839-5_15
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DOI: https://doi.org/10.1007/978-94-007-1839-5_15
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