Necessary condition for local observability of discrete-time polynomial systems

@article{Kawano2012NecessaryCF,
  title={Necessary condition for local observability of discrete-time polynomial systems},
  author={Yu Kawano and Toshiyuki Ohtsuka},
  journal={2012 American Control Conference (ACC)},
  year={2012},
  pages={6757-6762}
}
In this paper, we consider local observability for polynomial systems. When testing for the local observability of nonlinear systems, the observability rank condition based on the inverse function theorem is commonly used. However, the observability rank condition is only a sufficient condition. Recently, a different viewpoint of the observability rank condition, a necessary and sufficient condition for local observability at an initial state, has been derived. However, it is still difficult to… CONTINUE READING

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